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Wed Nov 8 10:38:00 MST 2023
R. Landauer Spatial variation of currents and fields due to localized scatterers in metallic conduction . . . . . . . . . . . . . . . 223--231
R. Landauer Spatial variation of currents and fields due to localized scatterers in metallic conduction . . . . . . . . . . . . . . . 251
F. Calogero Solution of the one-dimensional $N$-body problems with quadratic and/or inversely quadratic pair potentials . . . . . . . 419--436
J. Kota and Z. Perjes All stationary vacuum metrics with shearing geodesic eigenrays . . . . . . 1695--1699
M. Hortaçsu Fluctuations of a spherical gravitational impulsive wave . . . . . . 690--699
Claus Lämmerzahl and Alfredo Macías On the dimensionality of space--time . . 4540--4553
L. Fatibene and M. Ferraris and M. Francaviglia Nöther formalism for conserved quantities in classical gauge field theories . . . 1644--1657 Wen Chang Chu Partial fractions and bilateral summations . . . . . . . . . . . . . . . 2036--2042
J. LaChapelle ${\rm U}(2)$ as the electroweak gauge group . . . . . . . . . . . . . . . . . 2186--2198 J. LaChapelle Generating mass without the Higgs particle . . . . . . . . . . . . . . . . 2199--2209
M. Jamil Amir and Ashfaque H. Bokhari and Asghar Qadir Ricci collineations of static spherically symmetric spacetimes . . . . 3005--3012 M. Hortaçsu and R. Kaya Fluctuations of a rotating impulsive wave . . . . . . . . . . . . . . . . . . 3043--3050
R. H. Good, Jr. Mass spectra from field equations . . . 3333--3339
J. S. Dowker Functional determinants on spheres and sectors . . . . . . . . . . . . . . . . 4989--4999
Wojciech S\lomczy\'nski and Karol \.Zyczkowski Quantum chaos: an entropy approach . . . 5674--5700
M. Daniel and K. Porsezian and M. Lakshmanan On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions . . . . . . . . . . . . . . . 6498--6510
Giuseppe Bandelloni and Serge Lazzarini Diffeomorphism cohomology in Beltrami parametrization. II. The $1$-forms . . . 1--29 A. O. Barvinsky and T. A. Osborn and Yu. V. Gusev A phase-space technique for the perturbation expansion of Schrödinger propagators . . . . . . . . . . . . . . 30--61 T. Bröcker and R. F. Werner Mixed states with positive Wigner functions . . . . . . . . . . . . . . . 62--75 K. R. Brownstein Bound state variational principle employing a discontinuous trial function 76--85 P. J. Forrester Exact calculation of the ground-state single-particle Green's function for the $1/r^2$ quantum many-body system at integer coupling . . . . . . . . . . . . 86--96 Kazuyuki Fujii Generalizations of the Wess--Zumino--Witten model and Ferretti--Rajeev model to any dimensions: ${\rm CP}$-invariance and geometry . . . . . . . . . . . . . . . . 97--114 Hiroshi T. Ito Charge transfer model and three-body scattering . . . . . . . . . . . . . . . 115--132 Marek Kanter Density correlation inequalities analogous to Bell's . . . . . . . . . . 133--141 Yun Gang Lu Passage from quantum systems with continuous spectrum to quantum Poisson processes on Hilbert modules . . . . . . 142--176 C. Magni and F. Valz-Gris Can elementary quantum mechanics explain the Aharonov--Bohm effect . . . . . . . 177--186 M. R. M. Witwit Energy levels of double-well potentials in a three-dimensional system . . . . . 187--194 G. F. Torres del Castillo Lanczos potential for some type $D$ space--times . . . . . . . . . . . . . . 195--200 Bruno Baeyens and Henri Verschelde Statistical mechanics of hard spheres 201--218 S. Ciccariello Integral expressions of the derivatives of the small-angle scattering correlation function . . . . . . . . . . 219--246 John C. Baez and Michael S. Ody and William Richter Topological aspects of spin and statistics in nonlinear sigma models . . 247--257 J. Barcelos-Neto and Sasanka Ghosh and Shibaji Roy The Hamiltonian structures of the super-KP hierarchy associated with an even parity super-Lax operator . . . . . 258--267 J. C. Brunelli and Ashok Das Tests of integrability of the supersymmetric nonlinear Schrödinger equation . . . . . . . . . . . . . . . . 268--280 Alessandra Carlini and Angelo Alessandro Mazzotti and Maria Cristina Recchioni and Francesco Zirilli Asymptotic eigenvalue degeneracy for a class of three-dimensional Fokker--Planck operators . . . . . . . . 281--306 R. A. Kraenkel and M. A. Manna and J. G. Pereira The Korteweg--de Vries hierarchy and long water-waves . . . . . . . . . . . . 307--320 C. V. Sukumar and P. Guha Tau functions, Korteweg--de Vries flows, and supersymmetric quantum mechanics . . 321--330 A. Banerjee and D. Panigrahi and S. Chatterjee On the question of singularity in higher-dimensional space--time . . . . . 331--334 Alan A. Coley and Des J. McManus A family of cosmological solutions in higher-dimensional Einstein gravity . . 335--339 A. Das and N. Tariq and T. Biech Analytical solutions of spherically symmetric collapse of an anisotropic fluid body into a black hole . . . . . . 340--355 Alex Harvey Identities of the scalars of the four-dimensional Riemannian manifold . . 356--361 Des J. McManus Riemannian three-metrics with degenerate Ricci tensors . . . . . . . . . . . . . 362--369 Lipika Mullick and Pratul Bandyopadhyay Gravity without metric, torsion, and topological gravity . . . . . . . . . . 370--382 W. Bietenholz and J. J. Giambiagi Solutions of the spherically symmetric wave equation in $p + q$ dimensions . . 383--397 M. Chaichian and A. P. Dëmichev Quantum Poincaré group without dilatation and twisted classical algebra . . . . . 398--413 L. Chekhov $L$ functions in scattering on $p$-adic multiloop surfaces . . . . . . . . . . . 414--425 George T. Gilbert and Matthew P. Richey Cuspidal coverings for pairs of congruence subgroups . . . . . . . . . . 426--434 M. D. Gould and M. Scheunert Classification of finite-dimensional unitary irreps for $U_q[{\rm gl}(m \vert n)]$ . . . . . . . . . . . . . . . . . . 435--452 D. M. Healy, Jr. and F. E. Schroeck, Jr. On informational completeness of covariant localization observables and Wigner coefficients . . . . . . . . . . 453--507 A. U. Klimyk Symmetries of Clebsch--Gordan coefficients of the quantum group ${\rm U}_q(n)$ . . . . . . . . . . . . . . . . 508--523 Dae-Gyu Lee The Dirac gamma matrices as ``relics'' of a hidden symmetry?: As fundamental representations of the algebra ${\rm sp}(4,{\bf R})$ . . . . . . . . . . . . 524--530 J. R. Links and M. D. Gould Classification of unitary and grade star irreps for $U_q({\rm osp}(2 \vert 2n))$ 531--545 D. S. McAnally $q$-exponential and $q$-gamma functions. I. $q$-exponential functions . . . . . . 546--573 D. S. McAnally $q$-exponential and $q$-gamma functions. II. $q$-gamma functions . . . . . . . . 574--595 Tze-Chuen Toh and Malcolm R. Anderson Knots and classical $3$-geometries . . . 596--604 J. Van der Jeugt Dimension formulas for the Lie superalgebra ${\rm sl}(m/n)$ . . . . . . 605--611
Asao Arai Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space . . . . . . . . 613--621 Takahiro Arai Some extensions of semiclassical limit $\hslash\to 0$ for Wigner functions on phase space . . . . . . . . . . . . . . 622--630 A. Ballesteros and F. J. Herranz and M. A. del Olmo and M. Santander Classical deformations, Poisson--Lie contractions, and quantization of dual Lie bialgebras . . . . . . . . . . . . . 631--640 J. Beckers and N. Debergh and L. Ntibashirakandi On supersymmetry and radial equations for three-dimensional central problems 641--647 Simon Davis Divergences in the moduli space integral and accumulating handles in the infinite-genus limit . . . . . . . . . . 648--663 Levon S. Davtyan and Aleksey N. Sissakian and Valery M. Ter-Antonyan The Hurwitz transformation: nonbilinear version . . . . . . . . . . . . . . . . 664--674 Terry Gannon Towards a classification of ${\rm su}(2)\oplus\cdots\oplus{\rm su}(2)$ modular invariant partition functions 675--706 R. H. Good, Jr. Mass spectra from field equations. II. The electromagnetic contribution . . . . 707--713 P. Indelicato and Peter J. Mohr Asymptotic expansion of the Dirac--Coulomb radial Green's function 714--724 H. Maassen and A. Tip A Fock space representation for the quantum Lorentz gas . . . . . . . . . . 725--741 Mitsuhiro Itoh Generalized magnetic monopoles over contact manifolds . . . . . . . . . . . 742--749 M. D. Kostin Number density, entropy density, and energy density of statistical mechanics for $D$-dimensional grand canonical ensembles . . . . . . . . . . . . . . . 750--755 D. D. Ba\uìnov and E. Minchev Nonexistence of global solutions of the initial-boundary value problem for the nonlinear Klein--Gordon equation . . . . 756--762 S. Chakravarty and S. L. Kent and E. T. Newman Some reductions of the self-dual Yang--Mills equations to integrable systems in $2 + 1$ dimensions . . . . . 763--772 E. A. El-Rifai and E. Ahmed Knotted periodic orbits in Rössler's equations . . . . . . . . . . . . . . . 773--777 Larry L. Smalley and Jean P. Krisch Fluids with spin and twist . . . . . . . 778--795 J. M. Speight Low-energy dynamics of a ${\bf C}{\rm P}^1$ lump on the sphere . . . . . . . . 796--813 Andrei K. Svinin Hierarchies of Korteweg--de Vries type equations . . . . . . . . . . . . . . . 814--827 Brian D. Koberlein and Ronald L. Mallett Particle motion in the gravitational field of a charged, radiating body . . . 828--836 V. Liern and J. Olivert A symplectic interpretation of some wave fronts in general relativity . . . . . . 837--846 A. S. Silbergleit Nonlinear motions against the Newtonian uniform expansion background: the case of the unperturbed density . . . . . . . 847--862 Silviu Borac On the algebra generated by two projections . . . . . . . . . . . . . . 863--874 S. K. Bose Representations of the $(2 + 1)$-dimensional Galilean group . . . . . 875--890 Bernhard Drabant and Wolfgang Weich Unitary continuous representations of compact quantum groups . . . . . . . . . 891--897 Dimitri Kusnezov Exact matrix expansions for group elements of ${\rm su}(n)$ . . . . . . . 898--906 Pierre Minnaert and Marek Mozrzymas Racah coefficients and $6$-$j$ symbols for the quantum superalgebra $U_q({\rm osp}(1 \vert 2))$ . . . . . . . . . . . 907--922 Alexander Molev Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras . . . . . . . . . 923--943 L. Pittner and P. Uray Duals of quasitriangular Hopf superalgebras and the classical limit 944--966 Chao Zheng Zha and Wei Zhong Zhao The $q$ deformation of super high-order Virasoro algebra . . . . . . . . . . . . 967--979 Andrew Vogt On R. E. Collins's new viewpoint in physics: ``On some features of differentiable probabilities; a new viewpoint in physics'', [J. Math. Phys. \bf 34 (1993), no. 7, 3210--3221; MR 94e:82061]. With a reply by Collins . . 980--987 R. E. Collins Response to Vogt's comments on Collins's new viewpoint in physics . . . . . . . . 983--987 J. S. Dowker Erratum: ``Functional determinants on spheres and sectors'' . . . . . . . . . 988--988
Herminio Blancarte and Benoî t Grébert and Ricardo Weder High- and low-energy estimates for the Dirac equation . . . . . . . . . . . . . 991--1015 L. Chetouani and L. Guechi and T. F. Hammann and A. Lecheheb Algebraic treatment of the Kaluza--Klein monopole system . . . . . . . . . . . . 1016--1028 B. K. Chung and Y. D. Kang Improved high-energy bounds on absorptive parts of elastic scattering amplitudes . . . . . . . . . . . . . . . 1029--1037 Sergei Yu. Dobrokhotov and Vassili N. Kolokol\cprimetsov The double-well splitting of the low energy levels for the Schrödinger operator of discrete $\phi^4$-models on tori . . . . . . . . . . . . . . . . . . 1038--1053 Tomasz Jacek Dobrowolski On curved vortex solutions in the abelian Higgs model . . . . . . . . . . 1054--1062 E. P. Furlani Quantization of the electromagnetic field on static space--times . . . . . . 1063--1079 M. B. Halpern and N. A. Obers Flat connections and nonlocal conserved quantities in irrational conformal field theory . . . . . . . . . . . . . . . . . 1080--1110 B. E. Hanlon and G. C. Joshi A noncommutative geometric model with horizontal family symmetry . . . . . . . 1111--1122 P. O. Hess and J. C. López Boson mapping of symplectic algebras with abelian subalgebra mapped as coordinates . . . . . . . . . . . . . . 1123--1135 M. Howard Lee Price's bound on the structure factor: derivation and comparison with some exact results . . . . . . . . . . . . . 1136--1145 C. R. Ordóñez and J. M. Pons Dirac and reduced quantization: a Lagrangian approach and application to coset spaces . . . . . . . . . . . . . . 1146--1165 Pedro Pereyra Symmetries, parametrization, and group structure of transfer matrices in quantum scattering theory . . . . . . . 1166--1176 C. C. Sun and B. F. Li and Z. S. Li Symplectic symmetry of Hubbard model and $\eta$ pairing . . . . . . . . . . . . . 1177--1191 H.-P. Thienel Local differential geometry as a representation of the supersymmetric oscillator . . . . . . . . . . . . . . . 1192--1197 Marián Fecko Transformation of the solutions of the Maxwell equations on a Lorentzian manifold by means of a certain class of diffeomorphisms . . . . . . . . . . . . 1198--1207 S. M. Blinder Canonical partition function for the hydrogen atom via the Coulomb propagator 1208--1216 M. Howard Lee Polylogarithmic analysis of chemical potential and fluctuations in a $D$-dimensional free Fermi gas at low temperatures . . . . . . . . . . . . . . 1217--1231 Edoh Y. Amiran Lazutkin coordinates and invariant curves for outer billiards . . . . . . . 1232--1241 S. Bouquet Hamiltonian structure and integrability of the stationary Kuramoto--Sivashinsky equation . . . . . . . . . . . . . . . . 1242--1258 Adam Doliwa and Paolo Maria Santini Integrable dynamics of a discrete curve and the Ablowitz--Ladik hierarchy . . . 1259--1273 H. Lange and B. Toomire and P. F. Zweifel Time-dependent dissipation in nonlinear Schrödinger systems . . . . . . . . . . . 1274--1283 U. Mu\ugan and A. Sakka Schlesinger transformations for Painlevé VI equation . . . . . . . . . . . . . . 1284--1298 J. F. van Diejen Difference Calogero--Moser systems and finite Toda chains . . . . . . . . . . . 1299--1323 Asher Yahalom Helicity conservation via the Noether theorem . . . . . . . . . . . . . . . . 1324--1327 Robert Alan Coleman and Heinz-Jürgen Schmidt A geometric formulation of the equivalence principle . . . . . . . . . 1328--1346 K. D. Krori and A. K. Goswami and Anuradha Das Purkayastha An exact spinor solution in Kantowski--Sachs cosmology . . . . . . . 1347--1352 Des J. McManus Lorentzian three-metrics with degenerate Ricci tensors . . . . . . . . . . . . . 1353--1364 Hernando Quevedo and Roberto A. Sussman Thermodynamics of the Stephani universes 1365--1377 Stuart Boersma and Tevian Dray Parametric manifolds. I. Extrinsic approach . . . . . . . . . . . . . . . . 1378--1393 Stuart Boersma and Tevian Dray Parametric manifolds. II. Intrinsic approach . . . . . . . . . . . . . . . . 1394--1403 Demosthenes Ellinas and Jan Sobczyk Quantum Heisenberg group and algebra: contraction, left and right regular representations . . . . . . . . . . . . 1404--1412 F. A. M. Frescura and G. \Lubczonok An exterior calculus for exact symplectic manifolds . . . . . . . . . . 1413--1425 A. M. Grundland and J. Tafel On the existence of nonclassical symmetries of partial differential equations . . . . . . . . . . . . . . . 1426--1434 Yasuo Kawahara and Satoru Kumamoto and Yoshihiro Mizoguchi and Masaya Nohmi and Hiroshi Ohtsuka and Takayoshi Shoudai Period lengths of cellular automata on square lattices with rule 90 . . . . . . 1435--1456 Andrzej Lesniewski A remark on the Casimir elements of Lie superalgebras and quantized Lie superalgebras . . . . . . . . . . . . . 1457--1461 Charles Nash and Denjoe O'Connor Determinants of Laplacians, the Ray--Singer torsion on lens spaces and the Riemann zeta function . . . . . . . 1462--1505 Valérie Perrier and Thierry Philipovitch and Claude Basdevant Wavelet spectra compared to Fourier spectra . . . . . . . . . . . . . . . . 1506--1519 D. J. Rowe Resolution of missing label problems; a new perspective on $K$-matrix theory . . 1520--1530 Arne Schirrmacher Generalized $q$-exponentials related to orthogonal quantum groups and Fourier transformations of noncommutative spaces 1531--1546 Philippe Zaugg The quantum two-dimensional Poincaré group from quantum group contraction . . 1547--1553
I. G. Avramidi Covariant algebraic calculation of the one-loop effective potential in non-abelian gauge theory and a new approach to stability problem . . . . . 1557--1571 H. Bergeron and A. Valance Overcomplete basis for one-dimensional Hamiltonians . . . . . . . . . . . . . . 1572--1592 Norma Manko\vc-Bor\vstnik Poincaré algebra in ordinary and Grassmann space and supersymmetry . . . 1593--1601 T. Boudjedaa and A. Bounames and L. Chetouani and T. F. Hammann and Kh. Nouicer Path integral for spinning particle in magnetic field via bosonic coherent states . . . . . . . . . . . . . . . . . 1602--1615 K. Chadan and A. Martin and J. Stubbe The Calogero bound for nonzero angular momentum . . . . . . . . . . . . . . . . 1616--1624 F. A. B. Coutinho and J. Fernando Perez and Walter F. Wreszinski A variational proof of the Thomas effect 1625--1635 G. Dattoli and A. Torre Phase-space formalism: generalized Hermite polynomials, orthogonal functions and creation-annihilation operators . . . . . . . . . . . . . . . 1636--1644 Pavel Etingof Integral formulas for wave functions of quantum many-body problems and representations of $\germ g\germ l_n$ 1645--1651 Kazuyuki Fujii Solutions of $A_\infty$ Toda equations based on noncompact group ${\rm SU}(1,1)$ and infinite-dimensional Grassmann manifolds . . . . . . . . . . 1652--1665 E. A. Kochetov Path integral over the generalized coherent states . . . . . . . . . . . . 1666--1672 Pekka J. Lahti and Maciej J. M\kaczy\'nski Partial order of quantum effects . . . . 1673--1680 V. Maximov and A. Odzijewicz The $q$-deformation of quantum mechanics of one degree of freedom . . . . . . . . 1681--1690 D. G. C. McKeon and C. Wong Further uses of the quantum mechanical path integral in quantum field theory 1691--1706 W. Pötz Scattering theory for mesoscopic quantum systems with non-trivial spatial asymptotics in one dimension . . . . . . 1707--1740 Frank Reifler and Randall Morris Unification of the Dirac and Einstein Lagrangians in a tetrad model . . . . . 1741--1752 M. Sassoli de Bianchi and M. Di Ventra On the number of states bound by one-dimensional finite periodic potentials . . . . . . . . . . . . . . . 1753--1764 K. Arthur and J. Burzlaff Perturbation method for the energy-momentum tensor of an optical soliton . . . . . . . . . . . . . . . . 1765--1775 Sailing He and Vaughan H. Weston Determination of the permittivity and conductivity in $\bold R^3$ using wave splitting of Maxwell's equations . . . . 1776--1789 Toshihiro Iwai and Noriaki Katayama Multifold Kepler systems---dynamical systems all of whose bounded trajectories are closed . . . . . . . . 1790--1811 Y. Meurice The high-temperature expansion of the hierarchical Ising model: from Poincaré symmetry to an algebraic algorithm . . . 1812--1824 R. E. Nettleton Integral equations versus internal variables in the search for an effectively hyperbolic thermal transport equation . . . . . . . . . . . . . . . . 1825--1833 Marcel Ovidiu Vlad and Michael C. Mackey Generating functional approach to multichannel parallel relaxation with application to the problem of direct energy transfer in fractal systems with dynamic disorder . . . . . . . . . . . . 1834--1853 M. A. Almeida and M. E. Magalhães and I. C. Moreira Lie symmetries and invariants of the Lotka--Volterra system . . . . . . . . . 1854--1867 Pío José Arias and Jorge Stephany Gauge invariance and second class constraints in three-dimensional linearized massive gravity . . . . . . . 1868--1876 Nora Bretón On some colliding plane wave solutions 1877--1881 Robert H. Gowdy Affine projection-tensor geometry: Lie derivatives and isometries . . . . . . . 1882--1907 H. Azad and M. Ziad Spherically symmetric manifolds which admit five isometries . . . . . . . . . 1908--1911 A. C. Cadavid and R. J. Finkelstein Clebsch--Gordan coefficients and related identities obtained by an integration over the group space of ${\rm SU}_q(2)$ 1912--1933 David Gurarie Semiclassical eigenvalues and shape problems on surfaces of revolution . . . 1934--1944 J. Harnad and S. Shnider Isotropic geometry and twistors in higher dimensions. II. Odd dimensions, reality conditions, and twistor superspaces . . . . . . . . . . . . . . 1945--1970 Simon Hood New exact solutions of Burgers's equation---an extension to the direct method of Clarkson and Kruskal . . . . . 1971--1990 S. Majid $q$-epsilon tensor for quantum and braided spaces . . . . . . . . . . . . . 1991--2007 D. J. Rowe and J. Repka Induced shift tensors in vector coherent state theory . . . . . . . . . . . . . . 2008--2029 Hagop Sazdjian and Yassen S. Stanev and Ivan T. Todorov ${\rm SU}_3$ coherent state operators and invariant correlation functions and their quantum group counterparts . . . . 2030--2052 Yassen S. Stanev Classification of the local extensions of the ${\rm SU}(3)$ chiral current algebra . . . . . . . . . . . . . . . . 2053--2069 Yassen S. Stanev Classification of the local extensions of the ${\rm SU}(2) \times {\rm SU}(2)$ chiral current algebras . . . . . . . . 2070--2084 Luis Alberto Wills Toro $(I,q)$-graded Lie algebraic extensions of the Poincaré algebra, constraints on $I$ and $q$ . . . . . . . . . . . . . . 2085--2112 C. G. Torre Natural symmetries of the Yang--Mills equations . . . . . . . . . . . . . . . 2113--2130 Claus Lämmerzahl Addendum to: ``On the dimensionality of space--time'', [J. Math. Phys. \bf 34 (1993), no. 10, 4540--4553; MR 94e:81081] by Lämmerzahl and A. Macías . . 2131--2131
Sergio Albeverio and Zdzis\law Brze\'zniak Oscillatory integrals on Hilbert spaces and Schrödinger equation with magnetic fields . . . . . . . . . . . . . . . . . 2135--2156 Sergio Albeverio and Jörg Schäfer Abelian Chern--Simons theory and linking numbers via oscillatory integrals . . . 2157--2169 Abhay Ashtekar and Jerzy Lewandowski Projective techniques and functional integration for gauge theories . . . . . 2170--2191 Matthias Blau and George Thompson Localization and diagonalization: a review of functional integral techniques for low-dimensional gauge theories and topological field theories . . . . . . . 2192--2236 Pierre Cartier and Cécile DeWitt-Morette A new perspective on functional integration . . . . . . . . . . . . . . 2237--2312 Werner Fischer and Hajo Leschke and Peter Müller The functional-analytic versus the functional-integral approach to quantum Hamiltonians: the one-dimensional hydrogen atom . . . . . . . . . . . . . 2313--2323 S. K. Foong Overcoming dissipative distortions by a waveform restorer and designer . . . . . 2324--2340 T. E. Gallivan and Arie Kapulkin Failure of universality in noncompact lattice field theories . . . . . . . . . 2341--2353 Christian Grosche and Frank Steiner How to solve path integrals in quantum mechanics . . . . . . . . . . . . . . . 2354--2385 F. Y. Hunt and J. F. Douglas and J. Bernal Probabilistic computation of Poiseuille flow velocity fields . . . . . . . . . . 2386--2401 Louis H. Kauffman Functional integration and the theory of knots . . . . . . . . . . . . . . . . . 2402--2429 Nancy Makri Numerical path integral techniques for long time dynamics of quantum dissipative systems . . . . . . . . . . 2430--2457 M. S. Marinov Path integrals on homogeneous manifolds 2458--2469 Emil Mottola Functional integration over geometries 2470--2511 Lori Paniak and Nathan Weiss Kazakov--Migdal model with logarithmic potential and the double Penner matrix model . . . . . . . . . . . . . . . . . 2512--2530 Alice Rogers Path integration, anticommuting variables, and supersymmetry . . . . . . 2531--2545 L. S. Schulman Time displaced interactions: classical dynamics and path integral quantization 2546--2564 Cecile DeWitt-Morette Postscript . . . . . . . . . . . . . . . 2565--2565
Asao Arai Gauge theory on a non-simply connected domain and representations of canonical commutation relations . . . . . . . . . 2569--2580 D. Atkinson and V. P. Gusynin An integral equation of Muskhelishvili type: strong quantum electrodynamics . . 2581--2592 A. Bohm and I. Antoniou and P. Kielanowski A quantum mechanical arrow of time and the semigroup time evolution of Gamow vectors . . . . . . . . . . . . . . . . 2593--2604 A. L. Carey and H. Grundling and C. A. Hurst and E. Langmann Realizing $3$-cocycles as obstructions 2605--2620 T. Dolinszky Scattering by singular potentials. A. Wave function expansion . . . . . . . . 2621--2635 Pavel I. Etingof Quantum integrable systems and representations of Lie algebras . . . . 2636--2651 Robert Finkelstein and Eran Marcus Transformation theory of the $q$-oscillator . . . . . . . . . . . . . 2652--2672 Peter G. O. Freund Dirac monopoles and the Seiberg--Witten monopole equations . . . . . . . . . . . 2673--2674 Richard Friedberg Path integrals in polar variables with spontaneously broken symmetry . . . . . 2675--2690 José M. Gracia-Bondía and Joseph C. Várilly From geometric quantization to Moyal quantization . . . . . . . . . . . . . . 2691--2701 N. I. Grinberg Scattering on small three-dimensional, nonspherically symmetric potentials . . 2702--2719 H. Iwasawa and K. Matsuo Exact solutions of Heisenberg equations for multiphoton Jaynes--Cummings model 2720--2726 Jussi Kalkkinen Induced QCD from the noncommutative geometry of a supermanifold . . . . . . 2727--2740 Vassili N. Kolokol\cprimetsov Scattering theory for the Belavkin equation describing a quantum particle with continuously observed coordinate 2741--2760 Yaroslav Kurylev An inverse boundary problem for the Schrödinger operator with magnetic field 2761--2776 M. Légaré Invariant spinors and reduced Dirac equations under subgroups of the Euclidean group in four-dimensional Euclidean space . . . . . . . . . . . . 2777--2791 Péter Lévay Berry phases for Landau Hamiltonians on deformed tori . . . . . . . . . . . . . 2792--2802 W\ladys\law Marcinek and Robert Ra\lowski On Wick algebras with braid relations 2803--2812 Yu. B. Melnikov and B. S. Pavlov Two-body scattering on a graph and application to simple nanoelectronic devices . . . . . . . . . . . . . . . . 2813--2825 P. Moylan Harmonic analysis on spannors . . . . . 2826--2879 Tuncay Aktosun and Martin Klaus and Cornelis van der Mee Inverse wave scattering with discontinuous wave speed . . . . . . . . 2880--2928 K. L. Duggal and G. G. Asgekar and S. M. Aherkar A class of shear-free, non-static models for anisotropic magnetofluid systems . . 2929--2940 Johan Helsing A Nyström algorithm for electrostatics of an anisotropic composite . . . . . . . . 2941--2950 Malcolm A. MacLeod A new description of force-free magnetic fields . . . . . . . . . . . . . . . . . 2951--2958 Wen-Jui Huang and J. C. Shaw and H. C. Yen Classical extended conformal algebras associated with constrained KP hierarchy 2959--2971 Anjan Kundu and Walter Strampp and Walter Oevel Gauge transformations of constrained KP flows: new integrable hierarchies . . . 2972--2984 Mariusz P. D\kabrowski Note on Kantowski--Sachs universes . . . 2985--2987 H. P. de Oliveira Black holes and nonlinear scalar fields: a dynamical system approach . . . . . . 2988--3003 Douglas M. Eardley Gravitational collapse of vacuum gravitational field configurations . . . 3004--3011 Jörg Frauendiener On spin-$(3/2)$ systems in Ricci flat space--times . . . . . . . . . . . . . . 3012--3022 Patricio S. Letelier and An Zhong Wang Space--time defects . . . . . . . . . . 3023--3042 Patricio S. Letelier Space--time defects: open and closed shells . . . . . . . . . . . . . . . . . 3043--3053 Giulio Magli Tuning the properties of matter to any chosen dynamical behavior in cosmological models with elastic media 3054--3062 V. S. Manko and J. Martín and E. Ruiz Six-parameter solution of the Einstein--Maxwell equations possessing equatorial symmetry . . . . . . . . . . 3063--3073 J. Santos and M. J. Rebouças and A. F. F. Teixeira Classification of second order symmetric tensors in five-dimensional Kaluza--Klein-type theories . . . . . . 3074--3084 Jorge Alfaro and Ricardo Medina and Luis F. Urrutia The Itzykson--Zuber integral for ${\rm U}(m \vert n)$ . . . . . . . . . . . . . 3085--3093 L. J. Alty The generalized Gauss--Bonnet--Chern theorem . . . . . . . . . . . . . . . . 3094--3105 Carl M. Bender and Joshua Feinberg Eigenvalue integrodifferential equations for orthogonal polynomials on the real line . . . . . . . . . . . . . . . . . . 3106--3125 Florin Constantinescu Unitary braid group representations . . 3126--3133 Roberto Floreanini and Luc Vinet Quantum symmetries of $q$-difference equations . . . . . . . . . . . . . . . 3134--3156 R. P. Millane An infinite sum related to WKB eigenvalues . . . . . . . . . . . . . . 3157--3160 S. G. Scott A note on ${\bf C}{\rm P}^n$-instantons and the family's index theorem . . . . . 3161--3167 David S. Simon Semiclassical determinants of Schrödinger operators on line bundles . . . . . . . 3168--3173 D. V. Vassilevich Vector fields on a disk with mixed boundary conditions . . . . . . . . . . 3174--3182 L. Fatibene and M. Ferraris and M. Francaviglia Erratum: ``Nöther formalism for conserved quantities in classical gauge field theories'', [J. Math. Phys. \bf 35 (1994), no. 4, 1644--1657; MR 95g:58064] 3183--3185 J. LaChapelle Erratum: ``${\rm U}(2)$ as the electroweak gauge group'', [J. Math. Phys. 35 (1994), no. 5, 2186--2198; MR 95e:81253] . . . . . . . . . . . . . . . 3186--3186 J. LaChapelle Erratum: ``Generating mass without the Higgs particle'', [J. Math. Phys. \bf 35 (1994), no. 5, 2199--2209; MR 95e:81257] 3187--3187
V. Aldaya and J. Guerrero Canonical coherent states for the relativistic harmonic oscillator . . . . 3191--3199 Néstor Bertoglio and Claudio Fernández Kicked dynamics on Hilbert spaces: a nonstandard approach . . . . . . . . . . 3200--3209 H.-D. Doebner and H.-J. Mann Ray representations of $(N( \leq 2) + 1)$-dimensional Galilean group . . . . . 3210--3215 F. Ferrari and J. Sobczyk and W. Urbanik Operator formalism on the $Z_n$ symmetric algebraic curves . . . . . . . 3216--3231 Kunio Funahashi and Tar\=o Kashiwa and Seiji Sakoda and Kazuyuki Fujii Coherent states, path integral, and semiclassical approximation . . . . . . 3232--3253 Dae Sung Hwang and Chang-Yeong Lee Topological Yang--Mills theory from non-commutative geometry . . . . . . . . 3254--3262 M. C. Land and N. Shnerb and L. P. Horwitz On Feynman's approach to the foundations of gauge theory . . . . . . . . . . . . 3263--3288 Robert Marnelius and Ulrich Quaade BRST quantization of gauge theories like ${\rm SL}(2,{\bf R})$ on inner product spaces . . . . . . . . . . . . . . . . . 3289--3307 S. G. Rajeev and L. Rossi Some rigorous results for Yang--Mills theories on a cylinder . . . . . . . . . 3308--3319 Yi. A. Verdiev Quantum integrable systems related with symmetric spaces of the groups ${\rm U}(1,2)$ and ${\rm Sp}(1,2)$ and Green functions on these spaces . . . . . . . 3320--3331 Víctor M. Villalba Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov--Bohm and a magnetic monopole fields . . . . . . . . 3332--3344 R. C. Chiang Effects of an internal angular momentum on the rotation of a symmetrical top . . 3345--3352 Jonathan Gratus and Robin W. Tucker Topology change and the propagation of massless fields . . . . . . . . . . . . 3353--3376 Luis R. Lehner and Osvaldo M. Moreschi On the definition of the center of mass for a system of relativistic particles 3377--3394 S. K. Patch Recursive recovery of a family of Markov transition probabilities from boundary value data . . . . . . . . . . . . . . . 3395--3412 G. F. Torres del Castillo Debye potentials and Hamiltonians for magnetic field line flow . . . . . . . . 3413--3418 H. Aratyn and J. F. Gomes and A. H. Zimerman Affine Lie algebraic origin of constrained KP hierarchies . . . . . . . 3419--3442 A. Boutet de Monvel and D. Shepelsky Inverse scattering problem for anisotropic media . . . . . . . . . . . 3443--3453 Charles Bu Modified Korteweg--de Vries equation with generalized functions as initial values . . . . . . . . . . . . . . . . . 3454--3460 Jaros\law Gawrylczyk The Riemann--Liouville integral and continuous KP hierarchy . . . . . . . . 3461--3478 Bo Ling Guo and Yong Hui Wu Global existence and nonexistence of the solution of a forced nonlinear Schrödinger equation . . . . . . . . . . 3479--3484 Metin Gürses and Atalay Karasu Variable coefficient third order Korteweg--de Vries type of equations . . 3485--3491 Sen Yue Lou and Jian Ping Weng Generalized $W_\infty$ symmetry algebra of the conditionally integrable nonlinear evolution equation . . . . . . 3492--3497 A. Parker On exact solutions of the regularized long-wave equation: a direct approach to partially integrable equations. I. Solitary wave and solitons . . . . . . . 3498--3505 A. Parker On exact solutions of the regularized long-wave equation: a direct approach to partially integrable equations. II. Periodic solutions . . . . . . . . . . . 3506--3519 Manfred Plank Hamiltonian structures for the $n$-dimensional Lotka--Volterra equations . . . . . . . . . . . . . . . 3520--3534 Zhi Jun Qiao A completely integrable system and parametric representation of solutions of the Wadati--Konno--Ichikawa hierarchy 3535--3540 Manuel F. Rañada Integrable three-particle systems, hidden symmetries and deformations of the Calogero--Moser system . . . . . . . 3541--3558 Filipe J. Romeiras Separability and Lax pairs for the two-dimensional Hamiltonian system with a quartic potential . . . . . . . . . . 3559--3565 I. A. B. Strachan The symmetry structure of the anti-self-dual Einstein hierarchy . . . 3566--3573 Kanehisa Takasaki Symmetries and tau function of higher-dimensional dispersionless integrable hierarchies . . . . . . . . . 3574--3607 Kiyotaka Tanikawa and Yoshihiro Yamaguchi Stable and unstable manifolds in a zone of instability. II . . . . . . . . . . . 3608--3612 L. J. Alty Building blocks for topology change . . 3613--3618 A. Banerjee and D. Panigrahi and S. Chatterjee Evolution of Kaluza--Klein inhomogeneous model with a cosmological constant . . . 3619--3624 M. F. A. da Silva and L. Herrera and F. M. Paiva and N. O. Santos The Levi-Civita space--time . . . . . . 3625--3631 J. Frauendiener and C. Klein On crossing dust shells . . . . . . . . 3632--3643 Michael Heller and Wies\law Sasin Structured spaces and their application to relativistic physics . . . . . . . . 3644--3662 Paulo R. Holvorcem and Patricio S. Letelier and An Zhong Wang The interaction of outgoing and ingoing spherically symmetric null fluids . . . 3663--3675 Marcus Kriele On the collapse of a spherically symmetric star . . . . . . . . . . . . . 3676--3693 B. Linet Euclidean spinor Green's functions in the space--time of a straight cosmic string . . . . . . . . . . . . . . . . . 3694--3703 L. J. Mason The vacuum and Bach equations in terms of light cone cuts . . . . . . . . . . . 3704--3721 J. W. Moffat Nonsymmetric gravitational theory . . . 3722--3732 D. C. Robinson A Lagrangian formalism for the Einstein--Yang--Mills equations . . . . 3733--3742 J.-P. Antoine and A. Inoue and C. Trapani Spatiality of $^*$-derivations of partial $O^*$-algebras . . . . . . . . . 3743--3758 O. P. Bhutani and Lipika Bhattacharya Isogroups and exact solutions for some Klein--Gordon and Liouville-type equations in $n$-dimensional Euclidean space . . . . . . . . . . . . . . . . . 3759--3770 Aristophanes Dimakis and Folkert Müller-Hoissen and François Vanderseypen Discrete differential manifolds and dynamics on networks . . . . . . . . . . 3771--3791 Maged Elshamy Damped wave equations with noise . . . . 3792--3799 Roberto Floreanini and Luc Vinet A model for the continuous $q$-ultraspherical polynomials . . . . . 3800--3813 B. Jur\vco and M. Schlieker On Fock-space representations of quantized enveloping algebras related to noncommutative differential geometry . . 3814--3821 Edwin Langmann Noncommutative integration calculus . . 3822--3835 Romuald Lenczewski On certain states on free $^*$-algebras and their GNS representations . . . . . 3836--3853 R. B. Zhang Representations of super Yangian . . . . 3854--3865 Simon Davis Erratum: ``Divergences in the moduli space integral and accumulating handles in the infinite-genus limit'' . . . . . 3866--3866
Philippe Briet Bender--Wu formula for the Zeeman effect 3871--3882 N. Debergh Generalized fermions and Lie superalgebras ${\rm spl}(m/n)$ . . . . . 3883--3888 Robert S. Dunne Deformation methods for single paraoscillator systems . . . . . . . . . 3889--3901 Volker Enss and Ricardo Weder The geometrical approach to multidimensional inverse scattering . . 3902--3921 Francisco M. Fernández Renormalized perturbation series and the semiclassical limit of quantum mechanics 3922--3930 D. R. Grigore On the construction of free fields in relativistic quantum mechanics . . . . . 3931--3939 D. Han and Y. S. Kim and Marilyn E. Noz ${\rm O}(3,3)$-like symmetries of coupled harmonic oscillators . . . . . . 3940--3954 P. S. Kwon and M. Villasante Structure of the chiral scalar superfield in ten dimensions . . . . . . 3955--3992 Kazuyoshi Nishino An application of the Peter--Weyl theorem to nonabelian lattice gauge theory . . . . . . . . . . . . . . . . . 3993--4004 August Romeo Multidimensional extension of a Wentzel--Kramers--Brillouin improvement for spherical quantum billiard zeta functions . . . . . . . . . . . . . . . 4005--4011 Chengjun Zhu and John R. Klauder Operator analysis of nonrenormalizable multicomponent ultralocal field models 4012--4019 Chengjun Zhu and John R. Klauder Nontrivial path integrals for nonrenormalizable fields---multicomponent ultralocal models . . . . . . . . . . . . . . . . . 4020--4027 Sailing He and Sergei I. Kabanikhin An optimization approach to a three-dimensional acoustic inverse problem in the time domain . . . . . . . 4028--4043 Andrzej Herdegen Long-range effects in asymptotic fields and angular momentum of classical field electrodynamics . . . . . . . . . . . . 4044--4086 G. Miano and L. Verolino and V. G. Vaccaro A new method of solution of Hallén's problem . . . . . . . . . . . . . . . . 4087--4099 I. C. Charret and E. V. Corrêa Silva and S. M. de Souza and M. T. Thomaz Multivariable Grassmann integrals and the high temperature expansion of interacting fermionic models . . . . . . 4100--4105 W. Van Assche and R. J. Yañez and J. S. Dehesa Entropy of orthogonal polynomials and Freud weights and information entropies of the harmonic oscillator potential . . 4106--4118 Guo Boling and Yuan Guangwei Global smooth solution for the Klein--Gordon--Zakharov equations . . . 4119--4124 Kwok W. Chow A class of exact, periodic solutions of nonlinear envelope equations . . . . . . 4125--4137 Manuel de León and David Martín de Diego Symmetries and constants of the motion for higher-order Lagrangian systems . . 4138--4161 Kenji Kajiwara and Yasuhiro Ohta and Junkichi Satsuma Casorati determinant solutions for the discrete Painlevé III equation . . . . . 4162--4174 Spyridon Kamvissis Focusing nonlinear Schrödinger equation with infinitely many solitons . . . . . 4175--4180 M. Knecht and R. Pasquier and J.-Y. Pasquier Painlevé analysis and integrability properties of a $2 + 1$ nonrelativistic field theory . . . . . . . . . . . . . . 4181--4191 Anjan Kundu and Walter Strampp Derivative and higher-order extensions of Davey--Stewartson equation from matrix Kadomtsev--Petviashvili hierarchy 4192--4202 Dmitry E. Pelinovsky and Roger H. J. Grimshaw A spectral transform for the intermediate nonlinear Schrödinger equation . . . . . . . . . . . . . . . . 4203--4219 Ru Guang Zhou Hierarchy of negative order equation and its Lax pair . . . . . . . . . . . . . . 4220--4225 Robert Geroch Relativistic theories of dissipative fluids . . . . . . . . . . . . . . . . . 4226--4241 José W. Maluf Localization of energy in general relativity . . . . . . . . . . . . . . . 4242--4247 Demetrios B. Papadopoulos and Basilis C. Xanthopoulos Tomimatsu--Sato electrovacuum cosmic string solutions for $\delta=2$ interacting with gravitational waves . . 4248--4262 A. O. Petters Multiplane gravitational lensing. I. Morse theory and image counting . . . . 4263--4275 A. O. Petters Multiplane gravitational lensing. II. Global geometry of caustics . . . . . . 4276--4295 Renato Portugal Exact solutions of the Dirac equations in an anisotropic cosmological background . . . . . . . . . . . . . . . 4296--4300 J. A. Smoller and A. G. Wasserman Regular solutions of the Einstein--Yang--Mills equations . . . . 4301--4323 Yuri Berest and Yuri Molchanov Fundamental solutions for partial differential equations with reflection group invariance . . . . . . . . . . . . 4324--4339 Y. Brihaye and S. Giller and C. Gonera and P. Kosi\'nski The structure of quasi-exactly solvable systems . . . . . . . . . . . . . . . . 4340--4349 Bartolomé Coll and Fernando San José Martínez On the commutator of two $2$-forms in Minkowski space--time . . . . . . . . . 4350--4362 Gaetano Fiore The Euclidean Hopf algebra $U_q(e^N)$ and its fundamental Hilbert-space representations . . . . . . . . . . . . 4363--4405 Christian Gross Topology of the skyrmion bundle . . . . 4406--4435 S. Majid $*$-structures on braided spaces . . . . 4436--4449 Brett McInnes Holonomy groups and holonomy representations . . . . . . . . . . . . 4450--4460 E. H. Saidi Matrix representation of higher integer conformal spin symmetries . . . . . . . 4461--4475 Norihito Sasaki Quantization of Lie group and algebra of $G_2$ type in the Faddeev--Reshetikhin--Takhtajan approach 4476--4488 J. Tolar and P. Trávní\vcek Graded contractions and the conformal group of Minkowski space--time . . . . . 4489--4506 J. Van der Jeugt and R. Jagannathan Polynomial deformations of ${\rm osp}(1/2)$ and generalized parabosons 4507--4518 Evelyn Weimar-Woods Contractions of Lie algebras: generalized Inönü-Wigner contractions versus graded contractions . . . . . . . 4519--4548 Charles Nash and Denjoe O'Connor Erratum: ``Determinants of Laplacians, the Ray--Singer torsion on lens spaces and the Riemann zeta function'', [J. Math. Phys. \bf 36 (1995), no. 3, 1462--1505; MR 95k:58173] . . . . . . . 4549--4549
Herbert Amann and Pavol Quittner A nodal theorem for coupled systems of Schrödinger equations and the number of bound states . . . . . . . . . . . . . . 4553--4560 P. Exner The absence of the absolutely continuous spectrum for $\delta'$ Wannier--Stark ladders . . . . . . . . . . . . . . . . 4561--4570 G. F. Filippov and I. Yu. Rybkin and S. V. Korennov and K. Kat\=o On the complete basis of Pauli-allowed states of three-cluster systems in the Fock--Bargmann space . . . . . . . . . . 4571--4589 Kunio Funahashi and Tar\=o Kashiwa and Seiji Sakoda and Kazuyuki Fujii Exactness in the Wentzel--Kramers--Brillouin approximation for some homogeneous spaces . . . . . . . . . . . . . . . . . 4590--4611 P. Hájí\vcek Group quantization of parametrized systems. I. Time levels . . . . . . . . 4612--4638 P. Hájí\vcek and A. Higuchi and J. Tolar Group quantization of parametrized systems. II. Pasting Hilbert spaces . . 4639--4666 E. A. Kochetov ${\rm SU}(2)$ coherent-state path integral . . . . . . . . . . . . . . . . 4667--4679 A. Martin and J. Stubbe Bargmann- and Calogero-type bounds for the Dirac equation . . . . . . . . . . . 4680--4690 Laura M. Morato and Lorenza Viola Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic spinless particle . . . . . . . . . . . . . . . . 4691--4710 D. J. Rowe and K. T. Hecht Representation of the five-dimensional harmonic oscillator with scalar-valued ${\rm U}(5) \supset {\rm SO}(5) \supset {\rm SO}(3)$-coupled VCS wave functions 4711--4734 Stephan Schreckenberg Completeness of decoherence functionals 4735--4742 Hans van Leeuwen and Hans Maassen A $q$ deformation of the Gauss distribution . . . . . . . . . . . . . . 4743--4756 A. Vourdas ${\rm SU}(2)$ coherent states on an $m$-sheeted covering of the sphere . . . 4757--4773 N. Angelescu and M. Bundaru and J. V. Pulé Large deviations in a semi-infinite layered ferromagnet with mean-field interactions: classical and quantum models . . . . . . . . . . . . . . . . . 4774--4784 G. A. Raggio Properties of $q$-entropies . . . . . . 4785--4791 Horst R. Beyer The spectrum of adiabatic stellar oscillations . . . . . . . . . . . . . . 4792--4814 Horst R. Beyer The spectrum of radial adiabatic stellar oscillations . . . . . . . . . . . . . . 4815--4825 Maciej B\laszak Bi-Hamiltonian formulation for the Korteweg--de Vries hierarchy with sources . . . . . . . . . . . . . . . . 4826--4831 F. Calogero A solvable Hamiltonian system . . . . . 4832--4840 Christophe Claude Solution of three waves interaction type models with nontrivial asymptotic and boundary conditions . . . . . . . . . . 4841--4862 J. Harnad and M. Routhier $R$-matrix construction of electromagnetic models for the Painlevé transcendents . . . . . . . . . . . . . 4863--4881 Ladislav Hlavat\'y Algebraic framework for quantization of nonultralocal models . . . . . . . . . . 4882--4897 Luis Martínez Alonso and Elena Medina Reus Tau-function formalism for supersymmetric KP hierarchies . . . . . 4898--4913 T. Moorhouse A twistor-inspired Darboux transform for the sine-Gordon equation . . . . . . . . 4914--4922 Irene M. Moroz and Paul K. Newton Phase-amplitude dynamics of the nonlinear Schrödinger equation with rapid forcing . . . . . . . . . . . . . . . . 4923--4939 Johan van de Leur The Adler--Shiota--van Moerbeke formula for the BKP hierarchy . . . . . . . . . 4940--4951 Steven F. Browdy and Gregory J. Galloway Topological censorship and the topology of black holes . . . . . . . . . . . . . 4952--4961 A. Feinstein and J. Ibañez and P. Labraga Scalar field inhomogeneous cosmologies 4962--4974 Simonetta Frittelli and Carlos Kozameh and Ezra T. Newman Lorentzian metrics from characteristic surfaces . . . . . . . . . . . . . . . . 4975--4983 Simonetta Frittelli and Carlos Kozameh and Ezra T. Newman GR via characteristic surfaces . . . . . 4984--5004 Simonetta Frittelli and Carlos N. Kozameh and Ezra T. Newman Linearized Einstein theory via null surfaces . . . . . . . . . . . . . . . . 5005--5022 Dmitri Gal\cprimetsov and Alberto García and Oleg Kechkin Symmetries of the stationary Einstein--Maxwell-dilaton-axion system 5023--5041 I. G. Avramidi and R. Schimming Heat kernel coefficients for the matrix Schrödinger operator . . . . . . . . . . 5042--5054 I. G. Avramidi Covariant algebraic method for calculation of the low-energy heat kernel . . . . . . . . . . . . . . . . . 5055--5070 J. G. Brankov Isomorphism of dimer configurations and spanning trees on finite square lattices 5071--5083 A. A. Bytsenko and E. Elizalde and S. D. Odintsov The conformal anomaly in $N$-dimensional spaces having a hyperbolic spatial section . . . . . . . . . . . . . . . . 5084--5090 Roberto Floreanini and Jean LeTourneux and Luc Vinet An algebraic interpretation of the continuous big $q$-Hermite polynomials 5091--5097 A. Gervois and M. L. Mehta Some trigonometric identities encountered by McCoy and Orrick . . . . 5098--5109 Bo Yu Hou and Bo Yuan Hou and Zhong Qi Ma $q$-deformed Chern characters for quantum groups ${\rm SU}_q(N)$ . . . . . 5110--5138 J. Katriel and B. Abdesselam and A. Chakrabarti The fundamental invariant of the Hecke algebra $H_n(q)$ characterizes the representations of $H_n(q)$, $ S_n$, ${\rm SU}_q(N)$, and ${\rm SU}(N)$ . . . 5139--5158 Gregory Matviyenko On the azimuthal Fourier components of the Green's function for the Helmholtz equation in three dimensions . . . . . . 5159--5169 N. Mukunda and R. Simon Manifestly covariant forms for Lorentz group unitary representations . . . . . 5170--5178 A. Zarzo and R. J. Yañez and A. Ronveaux and J. S. Dehesa Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation . . . . 5179--5197 Wen Chang Chu Erratum: ``Partial fractions and bilateral summations'', [J. Math. Phys. \bf 35 (1994), no. 4, 2036--2042; MR 95f:33004] . . . . . . . . . . . . . . . 5198--5199 Robert H. Gowdy Erratum: ``Affine projection-tensor geometry: Lie derivatives and isometries'', [J. Math. Phys. \bf 36 (1995), no. 4, 1882--1907; MR 97d:53029] 5200--5200 Wojciech S\lomczy\'nski and Karol \.Zyczkowski Erratum: ``Quantum chaos: an entropy approach'', [J. Math. Phys. \bf 35 (1994), no. 11, 5674--5700; MR 95i:81062] . . . . . . . . . . . . . . . 5201--5201
S. Albeverio and Zheng Dong Wang Representation of the propagator and Schwinger functions of Dirac fields in terms of Brownian motions . . . . . . . 5207--5216 Sergio Albeverio and Jiang Lun Wu Euclidean random fields obtained by convolution from generalized white noise 5217--5245 G. Iommi Amunátegui The $L$-$S$ coupling revisited: a general solution for the $4$ electron system . . . . . . . . . . . . . . . . . 5246--5261 Daniel Arnaudon and Chryssomalis Chryssomalakos and Luc Frappat Classical and quantum ${\rm sl}(1 \vert 2)$ superalgebras, Casimir operators and quantum chain Hamiltonians . . . . . . . 5262--5283 Minos Axenides and Andrei Johansen and Jesper Mòller A $Z_2$ structure in the configuration space of Yang--Mills theories . . . . . 5284--5296 E. R. Bezerra de Mello and V. B. Bezerra Charged particles in a magnetic field on a cone . . . . . . . . . . . . . . . . . 5297--5304 Amin Boumenir Construction of a transformation operator . . . . . . . . . . . . . . . . 5305--5309 R. Fioravanti and G. A. Viano On the solution of the inverse scattering problem, at fixed energy, for the class of Yukawian potentials . . . . 5310--5339 M. P. Grabowski and P. Mathieu Quantum chains with a Catalan tree pattern of conserved charges: the $ \Delta = -1 X X Z $ model and the isotropic octonionic chain . . . . . . . 5340--5354 David Gurarie Quantized Neumann problem, separable potentials on $S^n$ and the Lamé equation 5355--5391 C. J. Isham and N. Linden Continuous histories and the history group in generalized quantum theory . . 5392--5408 J. D. Maitland Wright The structure of decoherence functionals for von Neumann quantum histories . . . 5409--5413 Brett McInnes Gauging discrete symmetries . . . . . . 5414--5430 James J. Morehead Asymptotics of radial wave equations . . 5431--5452 D. K. Park Green's-function approach to two- and three-dimensional delta-function potentials and application to the spin-$1/2$ Aharonov--Bohm problem . . . 5453--5464 S. A. Selesnick Gauge fields on the quantum net . . . . 5465--5479 Lawrence E. Thomas and Stephen R. Wassell Semiclassical approximation for Schrödinger operators on a two-sphere at high energy . . . . . . . . . . . . . . 5480--5505 R. Z. Zhdanov and I. V. Revenko and W. I. Fushchych On the new approach to variable separation in the time-dependent Schrödinger equation with two space dimensions . . . . . . . . . . . . . . . 5506--5521 A. Ibort and J. Marín-Solano Coisotropic regularization of singular Lagrangians . . . . . . . . . . . . . . 5522--5539 Abraham Lozada Angular momentum and space--time hyperboloids . . . . . . . . . . . . . . 5540--5551 V. V. Nesterenko and A. Feoli and G. Scarpetta Dynamics of relativistic particles with Lagrangians dependent on acceleration 5552--5564 Amr M. Shaarawi and Richard W. Ziolkowski and Ioannis M. Besieris On the evanescent fields and the causality of the focus wave modes . . . 5565--5587 A. Simoni and A. Stern and I. Yakushin Lorentz transformations as Lie--Poisson symmetries . . . . . . . . . . . . . . . 5588--5597 Giovanni Alli and Geoffrey L. Sewell New methods and structures in the theory of the multimode Dicke laser model . . . 5598--5626 K. M. Golden Statistical mechanics of conducting phase transitions . . . . . . . . . . . 5627--5642 Toru Miyazawa Algebraic structure of diffusion and scattering in one dimension . . . . . . 5643--5669 Jan Cie\'sli\'nski An algebraic method to construct the Darboux matrix . . . . . . . . . . . . . 5670--5706 J. D. Finley, III and John K. McIver Infinite-dimensional Estabrook--Wahlquist prolongations for the sine-Gordon equation . . . . . . . . 5707--5734 V. V. Gafiychuk and I. A. Lubashevski\u\i Variational representation of the projection dynamics and random motion of highly dissipative systems . . . . . . . 5735--5752 George Scoufis and Christopher M. Cosgrove On the initial value problem for the modified Benjamin--Ono equation . . . . 5753--5759 Angel Zhivkov and Milena Stanislavova On the dynamics of the four-dimensional rigid body in a quadratic potential field . . . . . . . . . . . . . . . . . 5760--5788 W. Barreto and L. Castillo Homothetic motion in radiating and dissipative spheres . . . . . . . . . . 5789--5799 A. Barros and C. Romero Cosmic vacuum strings and domain walls in Brans--Dicke theory of gravity . . . 5800--5804 Ingemar Bengtsson Note on massive spin $2$ in curved space 5805--5811 Taha Bin Farid and Asghar Qadir and M. Ziad The classification of static plane symmetric space--times according to their Ricci collineations . . . . . . . 5812--5828 V. R. Gavrilov and V. D. Ivashchuk and V. N. Mel\cprimenikov Integrable pseudo-Euclidean Toda-like systems in multidimensional cosmology with multicomponent perfect fluid . . . 5829--5847 Barry M. Haddow Purely magnetic space--times . . . . . . 5848--5854 A. Kehagias and J. Madore and J. Mourad and G. Zoupanos Linear connections on extended space--time . . . . . . . . . . . . . . 5855--5867 Alfredo Macías and Eckehard W. Mielke and Hugo A. Morales-Técotl and Romualdo Tresguerres Torsion and Weyl convector [covector] in metric-affine models of gravity . . . . 5868--5876 Giulio Magli Kerr--Schild gravitational fields in matter and the Kerr-interior problem in general relativity . . . . . . . . . . . 5877--5896 J. W. Moffat Regularity theorems in the nonsymmetric gravitational theory . . . . . . . . . . 5897--5915 A. Ballesteros and N. A. Gromov and F. J. Herranz and M. A. del Olmo and M. Santander Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras . . . . . . . . . . . . . . . . 5916--5937 G. S. Hall and Barry M. Haddow Some remarks on metric and Weyl connections . . . . . . . . . . . . . . 5938--5948 G. Harnett The space of Lie algebra $2$-cocycles of an affine transformation group . . . . . 5949--5967 Carolyn Pfeffer Johnston Remarks on resolutions of Hilbert--Schmidt operators . . . . . . . 5968--5978 Nguyen Anh Ky and Nedialka I. Stoilova Finite-dimensional representations of the quantum superalgebra $U_q[{\rm gl}(2/2)]$. II. Nontypical representations at generic $q$ . . . . . 5979--6003 Robert Milson On the construction of quasi-exactly solvable Schrödinger operators on homogeneous spaces . . . . . . . . . . . 6004--6027 Bengt E. W. Nilsson and Per Sundell A new relation among Catalan numbers . . 6028--6042 Xiao Dong Sun and Shi Kun Wang and Ke Wu Classification of six-vertex-type solutions of the colored Yang--Baxter equation . . . . . . . . . . . . . . . . 6043--6063
Michael Atiyah Quantum theory and geometry . . . . . . 6069--6072 John C. Baez and James Dolan Higher-dimensional algebra and topological quantum field theory . . . . 6073--6105 R. J. Lawrence Asymptotic expansions of Witten--Reshetikhin--Turaev invariants for some simple $3$-manifolds . . . . . 6106--6129 Stephen Sawin Path integration in two-dimensional topological quantum field theory . . . . 6130--6136 Alberto S. Cattaneo and Paolo Cotta-Ramusino and Jürg Fröhlich and Maurizio Martellini Topological $BF$ theories in $3$ and $4$ dimensions . . . . . . . . . . . . . . . 6137--6160 John W. Barrett Quantum gravity as topological quantum field theory . . . . . . . . . . . . . . 6161--6179 Louis Crane Clock and category: is quantum gravity algebraic . . . . . . . . . . . . . . . 6180--6193 Alain Connes Noncommutative geometry and reality . . 6194--6231 Bruno Iochum and Daniel Kastler and Thomas Schücker Fuzzy mass relations for the Higgs . . . 6232--6254 A. H. Chamseddine and J. Fröhlich and O. Grandjean The gravitational sector in the Connes--Lott formulation of the standard model . . . . . . . . . . . . . . . . . 6255--6275 Ruth M. Williams Simplicial quantum gravity in four dimensions and invariants of discretized manifolds . . . . . . . . . . . . . . . 6276--6287 Junichi Iwasaki A definition of the Ponzano--Regge quantum gravity model in terms of surfaces . . . . . . . . . . . . . . . . 6288--6298 J. Ambjòrn and J. Jurkiewicz and Y. Watabiki Dynamical triangulations, a gateway to quantum gravity . . . . . . . . . . . . 6299--6339 Bernd Brügmann and Enzo Marinari Monte Carlo simulations of $4$d simplicial quantum gravity . . . . . . . 6340--6352 M. Carfora and A. Marzuoli Holonomy and entropy estimates for dynamically triangulated manifolds . . . 6353--6376 Leonard Susskind The world as a hologram . . . . . . . . 6377--6396 Simonetta Frittelli and Ezra T. Newman and Carlos N. Kozameh On the dynamics of characteristic surfaces . . . . . . . . . . . . . . . . 6397--6416 Lee Smolin Linking topological quantum field theory and nonperturbative quantum gravity . . 6417--6455 Abhay Ashtekar and Jerzy Lewandowski and Donald Marolf and José Mourão and Thomas Thiemann Quantization of diffeomorphism invariant theories of connections with local degrees of freedom . . . . . . . . . . . 6456--6493 R. Loll Quantum aspects of $2 + 1$ gravity . . . 6494--6509 Cayetano Di Bartolo and Rodolfo Gambini and Jorge Griego and Jorge Pullin Knot polynomial states of quantum gravity in terms of loops and extended loops: some remarks . . . . . . . . . . 6510--6528 Carlo Rovelli Outline of a generally covariant quantum field theory and a quantum theory of gravity . . . . . . . . . . . . . . . . 6529--6547 Carlo Rovelli and Lee Smolin Overview . . . . . . . . . . . . . . . . viii--ix
Stephen C. Anco New spin-one gauge theory in three dimensions . . . . . . . . . . . . . . . 6553--6565 K. Arthur and D. H. Tchrakian Vortex solutions in a class of $2$-d symmetry breaking Skyrme-like models . . 6566--6582 Xin Chen and Le Man Kuang and Mo Lin Ge Jaynes--Cummings model governed by the Milburn equations without diffusion approximation . . . . . . . . . . . . . 6583--6595 M. Combescure and D. Robert Semiclassical sum rules and generalized coherent states . . . . . . . . . . . . 6596--6610 Kirill N. Ilinski and Gleb V. Kalinin and Vladislav V. Melezhik Berry phase and supersymmetric topological index . . . . . . . . . . . 6611--6624 Andrew Khrennikov Statistical interpretation of $p$-adic quantum theories with $p$-adic valued wave functions . . . . . . . . . . . . . 6625--6632 Péter Lévay and Barnabás Apagyi Modified symmetry generators related to solvable scattering problems . . . . . . 6633--6646 A. K. Motovilov Removal of the resolvent-like energy dependence from interactions and invariant subspaces of a total Hamiltonian . . . . . . . . . . . . . . 6647--6664 Miguel Navarro Comments on Good's proposal for new rules of quantization . . . . . . . . . 6665--6672 Stephen Sawin Direct sum decompositions and indecomposable TQFTs . . . . . . . . . . 6673--6680 A. Y. Shiekh Quantum canonical transformations revisited . . . . . . . . . . . . . . . 6681--6687 Richard Beals and G. M. Henkin and N. N. Novikova The inverse boundary problem for the Rayleigh system . . . . . . . . . . . . 6688--6708 Marián Fecko ``Falling cat'' connections and the momentum map . . . . . . . . . . . . . . 6709--6719 A. A. Pokrovski and A. V. Badanin Lax--Phillips theory for scattering by thin elastic bodies . . . . . . . . . . 6720--6736 Romuald Sawicz Homogeneity in integral representations for effective properties of composite materials . . . . . . . . . . . . . . . 6737--6745 M. Broidioi and B. Momont and A. Verbeure Lie algebra of anomalously scaled fluctuations . . . . . . . . . . . . . . 6746--6757 G. D. Mahan Diffusion through a slab . . . . . . . . 6758--6773 Michele Pavon Hamilton's principle in stochastic mechanics . . . . . . . . . . . . . . . 6774--6800 P. Carbonaro and S. Giamb\`o Hodograph equations in relativistic gas dynamics admitting an infinite number of symmetries . . . . . . . . . . . . . . . 6801--6808 Burak Gürel and Metin Gürses and Ismagil Habibullin Boundary value problems for integrable equations compatible with the symmetry algebra . . . . . . . . . . . . . . . . 6809--6821 R. A. Kraenkel and M. A. Manna and J. C. Montero and J. G. Pereira Boussinesq solitary-wave as a multiple-time solution of the Korteweg--de Vries hierarchy . . . . . . 6822--6828 Mircea Pigli Adelic integrable systems . . . . . . . 6829--6845 Manuel F. Rañada Lax formalism for a family of integrable Toda-related $n$-particle systems . . . 6846--6856 Huan Xiong Yang and Kang Li and Yi Xin Chen Auto-Bäcklund transformation as a gauge transformation preserving the form of Lax connection . . . . . . . . . . . . . 6857--6861 Z. Zhu and D. G. Caldi Reality of complex affine Toda solitons 6862--6871 Mauricio Cataldo and Patricio Salgado Superposition of a static perfect fluid and a radial electric field . . . . . . 6872--6878 J. A. de Azcárraga and J. C. Pérez Bueno Relativistic and Newtonian $\kappa$-space--times . . . . . . . . . 6879--6896 Viqar Husain The affine symmetry and self-dual gravity . . . . . . . . . . . . . . . . 6897--6906 Paul H. Lim and J. M. Overduin and Paul S. Wesson Light deflection in Kaluza--Klein gravity . . . . . . . . . . . . . . . . 6907--6914 Volker Perlick Infinite-dimensional Morse theory and Fermat's principle in general relativity. I . . . . . . . . . . . . . 6915--6928 G. Silva-Ortigoza Killing spinors and separability of Rarita--Schwinger's equation in type $\{2,2\}$ backgrounds . . . . . . . . . 6929--6936 R. P. Wallner A new form of Einstein's equations . . . 6937--6969 T. Zannias Black holes cannot support conformal scalar hair . . . . . . . . . . . . . . 6970--6980 G. \`E. Arutyunov and P. B. Medvedev On Poisson--Lie structure on the external algebra of the classical Lie groups . . . . . . . . . . . . . . . . . 6981--6990 Hubert de Guise and David J. Rowe Asymptotic Clebsch--Gordan coefficients 6991--7008 E. V. Doktorov and V. S. Shchesnovich Modified nonlinear Schrödinger equation: spectral transform and $N$-soliton solution . . . . . . . . . . . . . . . . 7009--7023 Roberto Floreanini and Luc Vinet Lie symmetries of finite-difference equations . . . . . . . . . . . . . . . 7024--7042 Daniela Garajeu and Richard Grimm and Serge Lazzarini $\scr W$-gauge structures and their anomalies: an algebraic approach . . . . 7043--7072 Nai Huan Jing Boson-fermion correspondence for Hall--Littlewood polynomials . . . . . . 7073--7080 Shahn Majid and M. J. Rodríguez-Plaza Nonstandard quantum groups and superization . . . . . . . . . . . . . . 7081--7097 M. Pallotta On the convergence of the inverse diffraction transform kernel using Ces\`aro summability . . . . . . . . . . 7098--7102 A. Shariati and A. Aghamohammadi A simple method for constructing the inhomogeneous quantum group ${\rm IGL}_q(n)$ and its universal enveloping algebra $U_q({\rm igl}(n))$ . . . . . . 7103--7108 R. Z. Zhdanov and I. V. Revenko and W. I. Fushchych On the general solution of the d'Alembert equation with a nonlinear eikonal constraint and its applications 7109--7127 J. W. Moffat Erratum: ``Nonsymmetric gravitational theory'' . . . . . . . . . . . . . . . . 7128--7128 Anonymous Summary of the Physics and Astronomy Classification Scheme --- 1995 . . . . . 7129--7129 Anonymous Summary of PACS Headings in Current Index . . . . . . . . . . . . . . . . . 7130--7132 Anonymous Subject Index to Volume 36 . . . . . . . 7133--7161 Anonymous Author Index to Volume 36 . . . . . . . 7162--7183
Masoud Alimohammadi Quantum chains with ${\rm GL}_q(2)$ symmetry . . . . . . . . . . . . . . . . 1--5 Carl M. Bender and Gerald V. Dunne Quasi-exactly solvable systems and orthogonal polynomials . . . . . . . . . 6--11 Pierre-Alain Bovier A rigorous treatment of conformal blocks in a model of bosonic conformal field theory . . . . . . . . . . . . . . . . . 12--38 C. Dane and Y. A. Verdiyev Integrable systems of group ${\rm SO}(1,2)$ and Green's functions . . . . 39--60 A. Das and C. Wotzasek Two-dimensional supersymmetric harmonic oscillator carrying a representation of the ${\rm GL}(2 \vert 1)$ graded Lie algebra . . . . . . . . . . . . . . . . 61--71 Bertfried Fauser Vertex normal ordering as a consequence of nonsymmetric bilinear forms in Clifford algebras . . . . . . . . . . . 72--83 A. Foussats and E. Manavella and C. Repetto and O. P. Zandron and O. S. Zandron Fermionic matter coupled to higher derivative Chern--Simons theories. II 84--99 Andrzej Herdegen Asymptotic algebra for charged particles and radiation . . . . . . . . . . . . . 100--120 Masao Hirokawa General properties between the canonical correlation and the independent-oscillator model on a partial $^*$-algebra . . . . . . . . . . 121--146 V. I. Inozemtsev Solution to three-magnon problem for $S = 1/2$ periodic quantum spin chains with elliptic exchange . . . . . . . . . . . 147--159 M. A. Lledó and M. García-Sucre On the quantum deformations of Hamiltonian systems . . . . . . . . . . 160--173 G. C. Marques and D. Spehler Left-right asymmetry and minimal coupling . . . . . . . . . . . . . . . . 174--195 Guillermo A. Mena Marugán Involutions on the algebra of physical observables from reality conditions . . 196--205 Miguel Navarro and Víctor Aldaya and Manuel Calixto Group quantization on configuration space . . . . . . . . . . . . . . . . . 206--218 J. E. Seger and A. B. Balantekin Fermion pair production from an electric field varying in two dimensions . . . . 219--226 Huan-Qiang Zhou and Xi-Wen Guan Hidden local gauge invariance in the one-dimensional Heisenberg $XXZ$ model with the general boundary terms . . . . 227--232 Alexander A. Borghardt and Darya Ya. Karpenko New solution of the wave equation with a uniformly moving point source . . . . . 233--239 D. R. Grigore Transitive symplectic manifolds in $1 + 2$ dimensions . . . . . . . . . . . . . 240--253 Bhimsen K. Shivamoggi Dielectric screening in a plasma: some rigorous results . . . . . . . . . . . . 254--262 Reinhard Honegger Global cocycle dynamics for infinite mean field quantum systems interacting with the boson gas . . . . . . . . . . . 263--282 A. Truman and H. Z. Zhao On stochastic diffusion equations and stochastic Burgers' equations . . . . . 283--307 D. J. Kaup and T. I. Lakoba The squared eigenfunctions of the massive Thirring model in laboratory coordinates . . . . . . . . . . . . . . 308--323 Q. M. Liu and A. S. Fokas Exact interaction of solitary waves for certain nonintegrable equations . . . . 324--345 Marek Szyd\lowski and Michael Heller and Wies\law Sasin Geometry of spaces with the Jacobi metric . . . . . . . . . . . . . . . . . 346--360 G. Abolghasem and A. A. Coley and D. J. Mc Manus Induced matter theory and embeddings in Riemann flat space--times . . . . . . . 361--373 I. G. Avramidi A new algebraic approach for calculating the heat kernel in quantum gravity . . . 374--394 M. A. Clayton Massive NGT and spherically symmetric systems . . . . . . . . . . . . . . . . 395--420 E. N. Glass Angular momentum and Killing potentials 421--429 S. D. Maharaj and P. G. L. Leach Exact solutions for the Tikekar superdense star . . . . . . . . . . . . 430--437 Alan D. Rendall The initial singularity in solutions of the Einstein--Vlasov system of Bianchi type I . . . . . . . . . . . . . . . . . 438--451 Robert S. Dunne Majorana parafermions . . . . . . . . . 452--459 D. R. Grigore The projective unitary irreducible representations of the Galilei group in $1 + 2$ dimensions . . . . . . . . . . . 460--473 Bertrand Le Roy A $Z_3$-graded generalization of supermatrices . . . . . . . . . . . . . 474--483 J. R. Links and M. D. Gould A $q$-superdimension formula for irreps of type I quantum superalgebras . . . . 484--492 Brett McInnes Calabi--Yau compactifications and the global structure of the standard group 493--498 Sebastian Sachse and Ralf Weixler ${\rm ISO}_q(3)$ and ${\rm ISO}_q(2,1)$ 499--507 Sergiu I. Vacaru Spinor structures and nonlinear connections in vector bundles, generalized Lagrange and Finsler spaces 508--523 N. van den Hijligenberg and R. Martini Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra . . . . . . . . . . . . . . 524--532
E. Ercolessi and G. Morandi and F. Napoli and P. Pieri Path integrals for spinning particles, stationary phase and the Duistermaat--Heckmann [Heckman] theorem 535--553 Wifredo Garcia Fuertes and Juan Mateos Guilarte Semilocal Chern--Simons defects . . . . 554--566 Kazuyuki Fujii and Taro Kashiwa and Seiji Sakoda Coherent states over Grassmann manifolds and the WKB exactness in path integral 567--602 S. Giller and C. Gonera and P. Kosi\'nski and P. Ma\'slanka Berry's phase on ${\rm SU}(n) / {\rm S}({\rm U}(1) \times {\rm U}(n - 1))$ manifolds . . . . . . . . . . . . . . . 603--607 Toshihiro Iwai and Yoshio Uwano and Noriaki Katayama Quantization of the multifold Kepler system . . . . . . . . . . . . . . . . . 608--624 Péter Lévay and David McMullan and Izumi Tsutsui The canonical connection in quantum mechanics . . . . . . . . . . . . . . . 625--636 S. G. Rajeev and O. T. Turgut Poisson brackets of Wilson loops and derivations of free algebras . . . . . . 637--649 J. Burzlaff and D. H. Tchrakian Zero modes of rotationally symmetric generalized vortices and vortex scattering . . . . . . . . . . . . . . . 650--657 Ehud Heyman Time-dependent plane-wave spectrum representations for radiation from volume source distributions . . . . . . 658--681 Ehud Heyman and A. J. Devaney Time-dependent multipoles and their application for radiation from volume source distributions . . . . . . . . . . 682--692 Dae Sung Hwang and Chang-Yeong Lee Topological Yang--Mills theory with scalar and vector fields in two and three dimensions . . . . . . . . . . . . 693--701 T. Lhallabi $(2,0)$ superconformal anomaly . . . . . 702--718 Shougen Song and Chaoshun Qu and Jishan He Imaging of velocity singularities with multiscale operators . . . . . . . . . . 719--731 Piotr Garbaczewski and Robert Olkiewicz Feynman--Kac kernels in Markovian representations of the Schrödinger interpolating dynamics . . . . . . . . . 732--751 Jeong-Hoon Kim A uniform diffusion limit for random wave propagation with turning point . . 752--768 Bernard C. Levy and Arthur J. Krener Stochastic mechanics of reciprocal diffusions . . . . . . . . . . . . . . . 769--802 Marcel Ovidiu Vlad and John Ross and Michael C. Mackey Nonequilibrium fluctuation-dissipation relations for independent random rate processes with dynamical disorder . . . 803--835 Joe F. Q. Fernandes and Anthony W. C. Lun Gauge invariant perturbations of black holes. I. Schwarzschild space--time . . 836--857 M. J. Rebouças and J. E. F. Skea and R. K. Tavakol Cosmological models expressible as gradient vector fields . . . . . . . . . 858--873 Antonio Zecca The Dirac equation in the Robertson--Walker space--time . . . . . 874--879 Noriaki Ano Geometrical aspect of topologically twisted two-dimensional conformal superalgebra . . . . . . . . . . . . . . 880--894 M. Bordag and E. Elizalde and K. Kirsten Heat kernel coefficients of the Laplace operator on the $D$-dimensional ball . . 895--916 Won-Sang Chung and Anatoli U. Klimyk On position and momentum operators in the $q$-oscillator algebra . . . . . . . 917--932 M. Ciulli and T. D. Spearman Analytic continuation from empirical data: a direct approach to the stabilization problem . . . . . . . . . 933--941 Sava Donkov and Orlin Stoytchev On some representations of current algebras in two dimensions and their central extensions . . . . . . . . . . . 942--952 Robert J. Finkelstein $q$-deformation of the Lorentz group . . 953--964 Omar Foda and Masato Okado and S. Ole Warnaar A proof of polynomial identities of type $\widehat{{\rm sl}(n)}_1 \otimes \widehat{{\rm sl}(n)}_1 / \widehat{{\rm sl}(n)}_2$ . . . . . . . . . . . . . . . 965--986 Mark D. Gould and Jon R. Links and Yao-Zhong Zhang Type-I quantum superalgebras, $q$-supertrace, and two-variable link polynomials . . . . . . . . . . . . . . 987--1003 Jerzy Kocik and Jan Rzewuski Structure of matrix manifolds and a particle model . . . . . . . . . . . . . 1004--1028 Peter A. B. Pleasants and Michael Baake and Johannes Roth Planar coincidences for $N$-fold symmetry . . . . . . . . . . . . . . . . 1029--1058 G. E. Sneddon The identities of the algebraic invariants of the four-dimensional Riemann tensor . . . . . . . . . . . . . 1059--1075 Kostake Teleman Conformal Lorentz geometry revisited . . 1076--1085 R. Bertolotti and G. Contreras and L. A. Núñez and U. Percoco and J. Carot Comment on: ``Ricci collineations of static spherically symmetric spacetimes'', [J. Math. Phys. \bf 35 (1994), no. 6, 3005--3012; MR 95d:83017] by M. J. Amir, A. H. Bokhari and A. Qadir . . . . . . . . . . . . . . . . . 1086--1088 M. Jamil Amir and Ashfaque H. Bokhari and Asghar Qadir Erratum: ``Ricci collineations of static spherically symmetric spacetimes'', [J. Math. Phys. \bf 35 (1994), no. 6, 3005--3012; MR 95d:83017] . . . . . . . 1089--1089
Ronald J. Adler and Ovid C. Jacob Null surfaces, initial values, and evolution operators for spinor fields 1091--1099 Roger Brooks and Arthur Lue The monopole equations in topological Yang--Mills . . . . . . . . . . . . . . 1100--1105 K. Chadan and R. Kobayashi and A. Martin and J. Stubbe Generalization of the Calogero--Cohn bound on the number of bound states . . 1106--1114 J. A. de Azcárraga and A. J. Macfarlane Group theoretical foundations of fractional supersymmetry . . . . . . . . 1115--1127 Emilio Elizalde and Sergei D. Odintsov and August Romeo Zeta-regularization of the ${\rm O}(N)$ nonlinear sigma model in $D$ dimensions 1128--1147 Giuseppina Epifanio and Todor S. Todorov and Camillo Trapani Complete sets of non-self-adjoint observables: an unbounded approach . . . 1148--1160 Dana Stanley Fine Topological sectors and measures on moduli space in quantum Yang--Mills on a Riemann surface . . . . . . . . . . . . 1161--1170 N. E. Firsova On the time decay of a wave packet in a one-dimensional finite band periodic lattice . . . . . . . . . . . . . . . . 1171--1181 Carlos R. Handy and John Maweu and Leticia Soto Atterberry Variational formulation of a moment problem quantization method . . . . . . 1182--1196 T. K. Kar and Gautam Ghosh Geometric phase for isotopic spin coherent states . . . . . . . . . . . . 1197--1203 L. E. Kon\cprimekov and S. V. Prants Quantum chaos in the group-theoretical picture . . . . . . . . . . . . . . . . 1204--1217 Ali Mostafazadeh Geometric phase, bundle classification, and group representation . . . . . . . . 1218--1233 Osamu Ogurisu Essential spectrum of the Dirac Hamiltonian for a spin $1/2$ neutral particle with an anomalous magnetic moment in an asymptotically constant magnetic field . . . . . . . . . . . . . 1234--1243 Hans-Jürgen Schmidt Classical mechanics with lapse . . . . . 1244--1252 F. Calogero Solvable (nonrelativistic, classical) $n$-body problems on the line. II . . . 1253--1258 J. K. Percus The stress tensor for nonlocal field equations . . . . . . . . . . . . . . . 1259--1267 Roman Gielerak and Robert Olkiewicz Gentle perturbations of the free Bose gas. The critical regime . . . . . . . . 1268--1286 Arkady L. Kholodenko Statistical mechanics of the deformable droplets on flat surfaces . . . . . . . 1287--1313 Arkady L. Kholodenko Statistical mechanics of the deformable droplets on Riemannian surfaces: applications to reptation and related problems . . . . . . . . . . . . . . . . 1314--1335 Khalid Latrach On a nonlinear stationary problem arising in transport theory . . . . . . 1336--1348 Arlen Anderson An elegant solution of the $n$-body Toda problem . . . . . . . . . . . . . . . . 1349--1355 F. Delduc and E. Ivanov and S. Krivonos $N=4$ super KdV hierarchy in $N=4$ and $N = 2$ superspaces . . . . . . . . . . 1356--1381 Bao Qun Lu A formula for obtaining new hereditary symmetries and new integrable equations 1382--1392 Y. Vaklev Soliton solutions and gauge equivalence for the problem of Zakharov--Shabat and its generalizations . . . . . . . . . . 1393--1413 Othmar Brodbeck and Norbert Straumann Instability proof for Einstein--Yang--Mills solitons and black holes with arbitrary gauge groups . . . 1414--1433 Gregory A. Burnett Collapsing regions and black hole formation . . . . . . . . . . . . . . . 1434--1448 Nivaldo A. Lemos Radiation-dominated quantum Friedmann models . . . . . . . . . . . . . . . . . 1449--1460 J. A. Smoller and A. G. Wasserman Uniqueness of zero surface gravity ${\rm SU}(2)$ Einstein--Yang/Mills black holes 1461--1484 E. Stedile and R. Duarte Conformal gauge theory of $(2 + 1)$-dimensional gravity . . . . . . . . 1485--1500 A. M. Grundland and P. Winternitz and W. J. Zakrzewski On the solutions of the ${\bf C}{\rm P}^1$ model in $(2 + 1)$ dimensions . . 1501--1520 Palle E. T. Jorgensen A duality for endomorphisms of von Neumann algebras . . . . . . . . . . . . 1521--1538 Stéphane Lafortune and Pavel Winternitz Superposition formulas for pseudounitary matrix Riccati equations . . . . . . . . 1539--1550
O. Bokanowski and B. Grébert Deformations of density functions in molecular quantum chemistry . . . . . . 1553--1573 T. C. Dorlas and N. Macris and J. V. Pulé Localization in single Landau bands . . 1574--1595 Gábor Etesi Spontaneous symmetry breaking in the ${\rm SO}(3)$ gauge theory to discrete subgroups . . . . . . . . . . . . . . . 1596--1601 James Feigenbaum and Peter G. O. Freund A $q$-deformation of the Coulomb problem 1602--1616 T. Fülöp Reduced ${\rm SL}(2,{\bf R})$ WZNW quantum mechanics . . . . . . . . . . . 1617--1631 Levere Hostler Commutator expansion. II. Relativistic reduced Green's functions and the Lamb shift calculation . . . . . . . . . . . 1632--1641 V. D. Ivashchuk and V. N. Melnikov Dually charged mesoatom on the space of constant negative curvature . . . . . . 1642--1649 J. Katriel and C. Quesne Recursively minimally-deformed oscillators . . . . . . . . . . . . . . 1650--1661 Z. Lipi\'nski Quantization of a loop extended ${\rm SU}(2)$ affine Kac--Moody algebra . . . 1662--1667 S. Varma and E. C. G. Sudarshan Quantum scattering theory in light of an exactly solvable model with rearrangement collisions . . . . . . . . 1668--1712 Radhika Vathsan Remarks on the quantization of gauge theories . . . . . . . . . . . . . . . . 1713--1723 Andreas Bette Directly interacting massless particles---a twistor approach . . . . . 1724--1734 F. Calogero A solvable $N$-body problem in the plane. I . . . . . . . . . . . . . . . . 1735--1759 S. A. Gogilidze and A. M. Khvedelidze and V. N. Pervushin On abelianization of first class constraints . . . . . . . . . . . . . . 1760--1771 M. C. Nucci The complete Kepler group can be derived by Lie group analysis . . . . . . . . . 1772--1775 G. R. Guerberoff and G. A. Raggio Standard thermal statistics with $q$-entropies . . . . . . . . . . . . . 1776--1789 Gustavo R. Guerberoff and Pedro A. Pury and Guido A. Raggio Non-standard thermal statistics with $q$-entropies . . . . . . . . . . . . . 1790--1811 A. S. Holevo Covariant quantum Markovian evolutions 1812--1832 H. Aden and B. Carl On realizations of solutions of the KdV equation by determinants on operator ideals . . . . . . . . . . . . . . . . . 1833--1857 H. J. S. Dorren Singular and unstable solutions of the Korteweg--de Vries hierarchy . . . . . . 1858--1870 Alain Goriely Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations . . . . 1871--1893 Andrew Pickering The singular manifold method revisited 1894--1927 Jeremy Schiff Zero curvature formulations of dual hierarchies . . . . . . . . . . . . . . 1928--1938 Robert Beig and Piotr T. Chru\'sciel Killing vectors in asymptotically flat space--times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem . . . . . 1939--1961 Y. K. Gupta and J. R. Sharma Similarity solutions for the type $D$ fluid plates in $5$-D flat space . . . . 1962--1971 E. M. Monte and M. D. Maia The twisting connection of space--time 1972--1981 Reuven Opher and Nilton O. Santos and Anzhong Wang Geodesic motion and confinement in van Stockum space--time . . . . . . . . . . 1982--1990 A. San Miguel and F. Vicente Overall rotation of a many-body system in Dixon's theory . . . . . . . . . . . 1991--2000 L. J. Alty and A. Chamblin Obstructions to Pin structures on Kleinian manifolds . . . . . . . . . . . 2001--2012 J. M. F. Labastida and E. Pérez A relation between the Kauffman and the HOMFLY polynomials for torus knots . . . 2013--2042 N. A. Nicorovici and C. G. Poulton and R. C. McPhedran Analytical results for a class of sums involving Bessel functions and square arrays . . . . . . . . . . . . . . . . . 2043--2052 A. Stern and I. Yakushin Lie--Poisson deformation of the Poincaré algebra . . . . . . . . . . . . . . . . 2053--2070 Grzegorz W. Wasilkowski and Henryk Wo\'zniakowski On tractability of path integration . . 2071--2086 G. F. Torres del Castillo Addendum: ``Debye potentials and Hamiltonians for magnetic field line flow'', [J. Math. Phys. \bf 36 (1995), no. 7, 3413--3418; MR 96c:78004] . . . . 2089--2089
Klaus Baumann Why the Thirring model cannot fulfill canonical anticommutation relations . . 2093--2106 M. Castagnino and G. Domenech and M. Levinas and N. Umérez The doublet representation of non-Hilbert eigenstates of the Hamiltonian . . . . . . . . . . . . . . 2107--2120 Haye Hinrichsen and Achim Kempf Maximal localization in the presence of minimal uncertainties in positions and in momenta . . . . . . . . . . . . . . . 2121--2137 Marek Kanter Discrete decay and continuous measurement . . . . . . . . . . . . . . 2138--2156 Slawomir Klimek and Andrzej Lesniewski Quantum Riemann surfaces for arbitrary Planck's constant . . . . . . . . . . . 2157--2165 V. Alan Kostelecký and Neil Russell Radial Coulomb and oscillator systems in arbitrary dimensions . . . . . . . . . . 2166--2181 A. W. Sáenz Long-time approximation to the evolution of resonant and nonresonant anharmonic oscillators in quantum mechanics . . . . 2182--2205 Fabrizio Tinebra An equivalence proof of the background gauge field quantization and the conventional one . . . . . . . . . . . . 2206--2228 Ingegerd Åberg and Gerhard Kristensson and David J. N. Wall Transient waves in nonstationary media 2229--2252 A. Das An ongoing big bang model in the special relativistic Maxwell--Dirac equations 2253--2259 Romuald Lenczewski Quantum random walk for $U_q({\rm su}(2))$ and a new example of quantum noise . . . . . . . . . . . . . . . . . 2260--2278 Marcel Ovidiu Vlad and Ralf Metzler and Theo F. Nonnenmacher and Michael C. Mackey Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: dynamical generalizations of stretched exponential . . . . . . . . . . . . . . 2279--2306 Q. P. Liu Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima--Oikawa hierarchy . . . . . . . . 2307--2314 Johan van de Leur The $W_{1 + \infty}({\rm gl}_s)$-symmetries of the $s$-component KP hierarchy . . . . . . . . . . . . . . 2315--2337 Yongtang Wu and Xianguo Geng A new integrable symplectic map associated with lattice soliton equations . . . . . . . . . . . . . . . 2338--2345 Alberto Saa New no-scalar-hair theorem for black holes . . . . . . . . . . . . . . . . . 2346--2351 Stephen L. Adler Projective group representations in quaternionic Hilbert space . . . . . . . 2352--2360 Stephen C. Anco and George Bluman Derivation of conservation laws from nonlocal symmetries of differential equations . . . . . . . . . . . . . . . 2361--2375 S. K. Bose Projective representations of the $(1 + 1)$-dimensional Poincaré group . . . . . 2376--2387 Tomasz Brzezi\'nski Quantum homogeneous spaces as quantum quotient spaces . . . . . . . . . . . . 2388--2399 Jin-Quan Chen and A. Klein and Jia-Lun Ping Point-group symmetrized boson representation. Algebraic solution for symmetry-adapted bases of $O_h$ . . . . 2400--2425 M. D. Gould and J. R. Links General eigenvalue formula for Casimir invariants of type I quantum superalgebras . . . . . . . . . . . . . 2426--2456 Ivan Gjaja Computation of Lie transformations from a power series: bounds and optimum truncation . . . . . . . . . . . . . . . 2457--2471 T. Lulek and R. Olchawa Geometric interpretation of fractal symmetries of a finite linear chain . . 2472--2483 Thierry Masson Submanifolds and quotient manifolds in noncommutative geometry . . . . . . . . 2484--2497 D. J. Rowe and J. Repka The Racah--Wigner algebra and coherent tensors . . . . . . . . . . . . . . . . 2498--2509 Leonidas Sandoval, Jr. Eichler integrals and string theory . . 2510--2526 L. J. Swank $(\alpha,\beta)$-derivations on quantum function algebras . . . . . . . . . . . 2527--2552 L. Vainerman and R. Kerner On special classes of $n$-algebras . . . 2553--2565 W\ladys\law Marcinek and Robert Ra\lowski Erratum: ``On Wick algebras with braid relations'' . . . . . . . . . . . . . . 2566--2566
K. Arthur and G. Roche and D. H. Tchrakian and Yisong Yang Skyrme models with self-dual limits: $d=2, 3$ . . . . . . . . . . . . . . . . 2569--2584 Paul Busch and Pekka J. Lahti Correlation properties of quantum measurements . . . . . . . . . . . . . . 2585--2601 Lusheng Chen and Gerald Dunne and Kurt Haller and Edwin Lim-Lombridas Canonical quantization of spontaneously broken topologically massive gauge theory . . . . . . . . . . . . . . . . . 2602--2627 Robert J. Finkelstein The $q$-Coulomb problem . . . . . . . . 2628--2636 Stanley Gudder Lattice properties of quantum effects 2637--2642 A. S. Nikolaev On the diagonalization of quantum Birkhoff--Gustavson normal form . . . . 2643--2661 Dénes Petz and Csaba Sudár Geometries of quantum states . . . . . . 2662--2673 Elena Santopinto and Roelof Bijker and Francesco Iachello Transformation brackets between ${\rm U}(\nu + 1) \supset {\rm U}(\nu) \supset {\rm SO}(\nu)$ and ${\rm U}(\nu + 1) \supset {\rm SO}(\nu + 1) \supset {\rm SO}(\nu)$ . . . . . . . . . . . . . . . 2674--2681 Paul B. Slater Applications of quantum and classical Fisher information to two-level complex and quaternionic and three-level complex systems . . . . . . . . . . . . . . . . 2682--2693 M. Toller Free quantum fields on the Poincaré group 2694--2730 U. A. Wiedemann and N. P. Landsman The Stückelberg-Kibble model as an example of quantized symplectic reduction . . . . . . . . . . . . . . . 2731--2747 Joaquín Delgado and Florin N. Diacu and Ernesto A. Lacomba and Angelo Mingarelli and Vasile Mioc and Ernesto Perez and Cristina Stoica The global flow of the Manev problem . . 2748--2761 Santa Piccolo and Maria Cristina Recchioni and Francesco Zirilli The time harmonic electromagnetic field in a disturbed half-space: an existence theorem and a computational method . . . 2762--2786 A. V. Bobylev and G. L. Caraffini and G. Spiga On group invariant solutions of the Boltzmann equation . . . . . . . . . . . 2787--2795 Tullio Regge and Riccardo Zecchina Exact solution of the Ising model on group lattices of genus $g>1$ . . . . . . 2796--2814 Aldo Belleni-Morante and Silvia Totaro The successive reflection method in three-dimensional particle transport . . 2815--2823 M. Boiti and J. Leon and F. Pempinelli Nonlinear discrete systems with nonanalytic dispersion relations . . . . 2824--2850 Peter Bueken Multi-Hamiltonian structures for a class of degenerate completely integrable systems . . . . . . . . . . . . . . . . 2851--2862 F. Calogero and J.-P. Françoise A completely integrable Hamiltonian system . . . . . . . . . . . . . . . . . 2863--2871 S. E. Konstein and M. A. Vasiliev Supertraces on the algebras of observables of the rational Calogero model with harmonic potential . . . . . 2872--2891 Charles Hellaby The nonsimultaneous nature of the Schwarzschild $R=0$ singularity . . . . 2892--2905 Vicenç Méndez and Josep Triginer Qualitative analysis of causal cosmological models . . . . . . . . . . 2906--2919 A. O. Petters and H. J. Witt Bounds on number of cusps due to point mass gravitational lenses . . . . . . . 2920--2933 J. F. Cornwell Abstract carrier space formalism for the irreducible tensor operators of compact quantum group algebras . . . . . . . . . 2934--2954 Stefano De Leo Quaternions and special relativity . . . 2955--2968 P. W. Doyle and A. M. Grundland Simple waves and invariant solutions of quasilinear systems . . . . . . . . . . 2969--2978 E. Frochaux Two relativistic boson models in the Schrödinger picture in three space--time dimensions . . . . . . . . . . . . . . . 2979--3000 Jean Pierre Gazeau and Vyacheslav Spiridonov Toward discrete wavelets with irrational scaling factor . . . . . . . . . . . . . 3001--3013 Norbert Grot and Carlo Rovelli Moduli-space structure of knots with intersections . . . . . . . . . . . . . 3014--3021 N. Hambli and J. Michelson and R. T. Sharp Character states and generator matrix elements for ${\rm Sp}(4) \supset {\rm SU}(2) \times {\rm U}(1)$ . . . . . . . 3022--3031 F. Hinterleitner Examples of separating coordinates for the Klein--Gordon equation in $(2 + 1)$-dimensional flat space--time . . . . 3032--3040 P. Kosi\'nski and J. Lukierski and P. Ma\'slanka and J. Sobczyk Bicrossproduct Hopf superalgebras and $D=4$ $\kappa$-deformed Poincaré supergroup . . . . . . . . . . . . . . . 3041--3049 Ahmet Satir Preliminary classification of $q_t=f(q,q_x,q_{xx},q_{xxx})$ . . . . . 3050--3061 Jeffrey R. Schmidt A Rodriguez [Rodrigues] formula and integration measure for the quantum deformed Legendre functions . . . . . . 3062--3072 Jonathan D. H. Smith and Abraham A. Ungar Abstract space--times and their Lorentz groups . . . . . . . . . . . . . . . . . 3073--3098 Thomas Guhr Comment on: ``The Itzykson--Zuber integral for ${\rm U}(m \vert n)$'', [J. Math. Phys. 36 (1995), no. 6, 3085--3093; 1331309] by J. Alfaro, R. Medina and L. F. Urrutia. With a reply by Alfaro, Medina and Urrutia . . . . . 3099--3100 Jorge Alfaro and Ricardo Medina and Luis F. Urrutia Reply to the ``Comment on: The Itzykson--Zuber integral for ${\rm U}(m \vert n)$'' . . . . . . . . . . . . . . 3100--3101
E. Elizalde and M. Lygren and D. V. Vassilevich Antisymmetric tensor fields on spheres: functional determinants and non-local counterterms . . . . . . . . . . . . . . 3105--3117 S. P. Gavrilov and D. M. Gitman Proper time and path integral representations for the commutation function . . . . . . . . . . . . . . . . 3118--3130 Frank Leitenberger Quantum Lobachevsky planes . . . . . . . 3131--3140 Mauri Miettinen On localization and regularization . . . 3141--3152 Gheorghe Nenciu and Radu Purice One-dimensional periodic Dirac Hamiltonians: semiclassical and high-energy asymptotics for gaps . . . . 3153--3167 Jacques Renaud The contraction of the ${\rm SU}(1,1)$ discrete series of representations by means of coherent states . . . . . . . . 3168--3179 A. Truman and H. Z. Zhao Quantum mechanics of charged particles in random electromagnetic fields . . . . 3180--3197 R. Z. Zhdanov Conditional symmetry and spectrum of the one-dimensional Schrödinger equation . . 3198--3217 Tuncay Aktosun and Martin Klaus and Cornelis van der Mee Integral equation methods for the inverse problem with discontinuous wave speed . . . . . . . . . . . . . . . . . 3218--3245 Maarten V. de Hoop Generalization of the Bremmer coupling series . . . . . . . . . . . . . . . . . 3246--3282 S. K. Patch Diffuse tomography modulo Grassmann and Laplace . . . . . . . . . . . . . . . . 3283--3305 N. Ben Abdallah and P. Degond On a hierarchy of macroscopic models for semiconductors . . . . . . . . . . . . . 3306--3333 Jack Douthett and Richard Krantz Energy extremes and spin configurations for the one-dimensional antiferromagnetic Ising model with arbitrary-range interaction . . . . . . 3334--3353 R. Gielerak and A. L. Rebenko On the Poisson integrals representation in the classical statistical mechanics of continuous systems . . . . . . . . . 3354--3374 Michele Pavon Lagrangian dynamics for classical, Brownian, and quantum mechanical particles . . . . . . . . . . . . . . . 3375--3388 Manuel de León and David M. de Diego On the geometry of non-holonomic Lagrangian systems . . . . . . . . . . . 3389--3414 A. S. Fokas and R. H. J. Grimshaw and D. E. Pelinovsky On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid . . . . . . . . . . . . . . . . . 3415--3421 T. Ioannidou Soliton solutions and nontrivial scattering in an integrable chiral model in $(2 + 1)$ dimensions . . . . . . . . 3422--3441 D. J. Kaup and T. I. Lakoba Variational method: how it can generate false instabilities . . . . . . . . . . 3442--3462 P. P. Kulish and S. Rauch-Wojciechowski and A. V. Tsiganov Stationary problems for equation of the KdV type and dynamical $r$-matrices . . 3463--3482 M. B. Sedra On the huge Lie superalgebra of pseudo-superdifferential operators and super KP-hierarchies . . . . . . . . . . 3483--3490 Huan-Xiong Yang and You-Quan Li Prolongation approach to Bäcklund transformation of Zhiber--Mikhailov--Shabat equation . . . 3491--3497 Ashfaque H. Bokhari and A. R. Kashif Curvature collineations of some static spherically symmetric space--times . . . 3498--3504 P. Hájí\vcek and C. J. Isham The symplectic geometry of a parametrized scalar field on a curved background . . . . . . . . . . . . . . . 3505--3521 P. Hájí\vcek and C. J. Isham Perennials and the group-theoretical quantization of a parametrized scalar field on a curved background . . . . . . 3522--3538 Antonio Zecca Separation of the massless field equations for arbitrary spin in the Robertson--Walker space--time . . . . . 3539--3547 A. Hamid Bougourzi and Luc Vinet A quantum analog of the ${\scr Z}$ algebra . . . . . . . . . . . . . . . . 3548--3567 Salih Çelïk Two parameter deformation of Grassmann matrix group and supergroup . . . . . . 3568--3575 C. Daboul Algebraic proof of the symmetric space theorem . . . . . . . . . . . . . . . . 3576--3586 Koos De Vos and Peter van Driel The Kazhdan--Lusztig conjecture for ${\scr W}$ algebras . . . . . . . . . . 3587--3610 Christiane Martin and Mohamed Zouagui A noncommutative Hopf structure on ${\scr C}^\infty[{\rm SL}(2,{\bf C})]$ as a quantum Lorentz group . . . . . . . 3611--3629 Frank Reifler and Randall Morris Inclusion of gauge bosons in the tensor formulation of the Dirac theory . . . . 3630--3640 Gelasio Salazar-Anaya and Jesús Urías Random perturbations of iterated maps 3641--3643 Laurent Cairó and Marc R. Feix Comments on: ``Hamiltonian structures for the $n$-dimensional Lotka--Volterra equations'', [J. Math. Phys. \bf 36 (1995), no. 7, 3520--3534; MR 96g:34010] by M. Plank . . . . . . . . . . . . . . 3644--3645 F. Calogero Erratum: ``Solution of the one-dimensional $N$-body problems with quadratic and/or inversely quadratic pair potentials'', [J. Math. Phys. 12 (1971), 419--436; MR \bf 43 #5824] . . . 3646--3646
Radha Balakrishnan and Partha Guha Surface-embeddability approach to the dynamics of the inhomogeneous Heisenberg spin chain . . . . . . . . . . . . . . . 3651--3661 Selçuk \cS. Bayin and J. P. Krisch and Mustafa Özcan The Casimir energy of the twisted string loop: uniform and two segment loops . . 3662--3674 A. C. Cadavid and R. J. Finkelstein The $q$-Coulomb problem in configuration space . . . . . . . . . . . . . . . . . 3675--3683 Alberto S. Cattaneo Cabled Wilson loops in $BF$ theories . . 3684--3703 Ling-Lie Chau and Itaru Yamanaka The KZ equation and the quantum-group difference equation in quantum self-dual Yang--Mills theory . . . . . . . . . . . 3704--3712 O. M. Khudaverdian and A. Nersessian Batalin--Vilkovisky formalism and integration theory on manifolds . . . . 3713--3724 Chang-Yeong Lee and Dae Sung Hwang and Yuval Ne'eman BRST quantization of gauge theory in noncommutative geometry: matrix derivative approach . . . . . . . . . . 3725--3738 Masao Matsumoto A natural extension of coherent state path integrals . . . . . . . . . . . . . 3739--3752 Serdar Nergiz and Cihan Saçlìo\uglu Liouville vortex and $\phi^4$ kink solutions of the Seiberg--Witten equations . . . . . . . . . . . . . . . 3753--3759 W. Y. Ruan Transformation bracket for $2$D harmonic oscillator functions and its application to few-electron quantum dots . . . . . . 3760--3768 Gabriella Tarantello Multiple condensate solutions for the Chern--Simons--Higgs theory . . . . . . 3769--3796 R. Wulkenhaar Deriving the standard model from the simplest two-point $K$ cycle . . . . . . 3797--3814 J. Zak Discrete Weyl--Heisenberg transforms . . 3815--3823 Falih Ahmad and Mohsen Razzaghi On the Green-functions technique and phase velocity approximation of axially symmetric fields in stratified media . . 3824--3832 Gustavo Dotti and Carlos N. Kozameh Self-dual Maxwell fields on curved space--times . . . . . . . . . . . . . . 3833--3853 A. John Haines and Maarten V. de Hoop An invariant imbedding analysis of general wave scattering problems . . . . 3854--3881 Jörg Schray and Tevian Dray and Corinne A. Manogue and Robin W. Tucker and Charles Wang The construction of spinor fields on manifolds with smooth degenerate metrics 3882--3896 Bernard Gaveau and L. S. Schulman Master equation based formulation of nonequilibrium statistical mechanics . . 3897--3932 Edwin Langmann and Jouko Mickelsson Scattering matrix in external field problems . . . . . . . . . . . . . . . . 3933--3953 Federico Finkel and Artemio González-López and Miguel A. Rodríguez Quasi-exactly solvable potentials on the line and orthogonal polynomials . . . . 3954--3972 Ariel O. García and Roberto C. Trinchero Constructive building of the Lax pair in the non-linear sigma model . . . . . . . 3973--3981 Yuri B. Suris Integrable discretizations of the Bogoyavlensky lattices . . . . . . . . . 3982--3996 C. Chicone and B. Mashhoon and D. G. Retzloff On the ionization of a Keplerian binary system by periodic gravitational radiation . . . . . . . . . . . . . . . 3997--4016 Olga Gil-Medrano A Riemannian generalization of a result of DeWitt concerning Ricci-flat Lorentz metrics . . . . . . . . . . . . . . . . 4017--4024 K. Kleidis and H. Varvoglis and D. B. Papadopoulos Conditions on the stability of the external space solutions in a higher-dimensional quadratic theory of gravity . . . . . . . . . . . . . . . . 4025--4033 L. K. Patel and Naresh Dadhich Inhomogeneous Kasner-type cylindrically symmetric models in Kaluza--Klein space--time . . . . . . . . . . . . . . 4034--4040 Troy A. Schilling Non-covariance of the generalized holonomies: examples . . . . . . . . . . 4041--4052 G. F. Torres del Castillo Perturbations of solutions of the Einstein--Maxwell equations with a null background electromagnetic field . . . . 4053--4061 Peter Bueken Three-dimensional Riemannian manifolds with constant principal Ricci curvatures $\rho_1=\rho_2\not=\rho_3$ . . . . . . . 4062--4075 Qing Ding and Bao-Qun Lu On harmonic maps from ${\bf R}^{1,1}$ into Hilbert loop groups . . . . . . . . 4076--4088 M. Dubois-Violette and J. Madore and T. Masson and J. Mourad On curvature in noncommutative geometry 4089--4102 Carl M. Bender and Jade P. Vinson Summation of power series by continued exponentials . . . . . . . . . . . . . . 4103--4119 José M. Figueroa-O'Farrill and Sonia Stanciu On the structure of symmetric self-dual Lie algebras . . . . . . . . . . . . . . 4121--4134 Roberto Floreanini and Jean LeTourneux and Luc Vinet A $q$-deformed $e(4)$ and continuous $q$-Jacobi polynomials . . . . . . . . . 4135--4149 A. Gervois and M. L. Mehta Some trigonometric identities. II . . . 4150--4155 Matthias Holschneider Continuous wavelet transforms on the sphere . . . . . . . . . . . . . . . . . 4156--4165 N. van den Hijligenberg and R. Martini and G. F. Post Quantization of differential calculi on universal enveloping algebras . . . . . 4166--4175 J. Van der Jeugt On the Lie superalgebra embedding $C(n + 1) \supset B(0,n)$ and dimension formulas . . . . . . . . . . . . . . . . 4176--4186 H. T. Williams ${\rm SU}3$ isoscalar factors . . . . . 4187--4198 Y. Enginer and M. Hortaçsu and N. Özdemir Errata: ``Fluctuations of a spherical gravitational impulsive wave'', [J. Math. Phys. \bf 34 (1993), no. 2, 690--699; MR 93m:83024] by M. Hortaçsu and ``Fluctuations of a rotating impulsive wave'', [ibid. \bf 35 (1994), no. 6, 3043--3050; MR 95g:83036] by M. Hortaçsu and R. Kaya . . . . . . . . . . 4199--4199
Asao Arai Canonical commutation relations, the Weierstrass zeta function, and infinite-dimensional Hilbert space representations of the quantum group $U_q(\germ s\germ l_2)$ . . . . . . . . 4203--4218 F. Bagarello and C. Trapani The Heisenberg dynamics of spin systems: a quasi $^*$-algebras approach . . . . . 4219--4234 C. G. Bollini and O. Civitarese and A. L. De Paoli and M. C. Rocca Gamow states as continuous linear functionals over analytical test functions . . . . . . . . . . . . . . . 4235--4242 F. Calogero and J. F. van Diejen Solvable quantum version of an integrable Hamiltonian system . . . . . 4243--4251 Zhe Chang Coherent state path-integral representation of supersymmetric lattice models . . . . . . . . . . . . . . . . . 4252--4273 Philippe Droz-Vincent Two-body wave equations in curved space--time . . . . . . . . . . . . . . 4274--4291 Reinhard Honegger and Alfred Rieckers Squeezing Bogoliubov transformations on the infinite mode CCR-algebra . . . . . 4292--4309 J. LaChapelle Path integral solution of the Schrödinger equation in curvilinear coordinates: a straightforward procedure . . . . . . . 4310--4319 Yu-Fen Liu and Jaime Keller A symmetry of massless fields . . . . . 4320--4332 G. D. Mahan Quantum Boltzmann equation for photons 4333--4351 A. P. C. Malbouisson and N. F. Svaiter On the vacuum stability in the Efimov--Fradkin model at finite temperature . . . . . . . . . . . . . . 4352--4367 Oktay K. Pashaev The Lax pair by dimensional reduction of Chern--Simons gauge theory . . . . . . . 4368--4387 S. Ciulli and S. Ispas and M. K. Pidcock Anomalous thresholds and edge singularities in electrical impedance tomography . . . . . . . . . . . . . . . 4388--4417 C. J. Radford Localized solutions of the Dirac--Maxwell equations . . . . . . . . 4418--4433 Daniel Wurmser A manifestly reciprocal theory of scattering in the presence of elastic media . . . . . . . . . . . . . . . . . 4434--4479 Alejandro M. Mesón and Fernando Vericat Invariant of dynamical systems: a generalized entropy . . . . . . . . . . 4480--4483 Carlo Morosi and Livio Pizzocchero $r$-matrix theory, formal Casimirs and the periodic Toda lattice . . . . . . . 4484--4513 Govindan Rangarajan Symplectic completion of symplectic jets 4514--4542 Ugo Bruzzo and Francesca Venzano Solution of Nester's gauge conditions 4543--4548 Piotr M. Hajac The Einstein action for algebras of matrix valued functions---toy models . . 4549--4556 M. D. Roberts Imploding scalar fields . . . . . . . . 4557--4573 D. Singleton Axially symmetric solutions for ${\rm SU}(2)$ Yang--Mills theory . . . . . . . 4574--4583 G. F. Torres del Castillo Exact solutions of the Einstein equations with sources from linearized solutions . . . . . . . . . . . . . . . 4584--4589 J. F. Cornwell Irreducible tensor operators in the regular coaction formalisms of compact quantum group algebras . . . . . . . . . 4590--4634 Ludwik D\kabrowski and Piotr M. Hajac and Giovanni Landi and Pasquale Siniscalco Metrics and pairs of left and right connections on bimodules . . . . . . . . 4635--4646 Aristophanes Dimakis and J. Madore Differential calculi and linear connections . . . . . . . . . . . . . . 4647--4661 T. C. Dorlas A non-commutative central limit theorem 4662--4682 M. Fichtmüller and W. Weich The limit transition $q\to 1$ of the $q$-Fourier transform . . . . . . . . . 4683--4689 Ricardo D. Gianotti and Antonio E. Rodriguez and Fernando Vericat On the inversion formula of the half-Hartley transform . . . . . . . . . 4690--4692 Kenji Kajiwara and Yasuhiro Ohta Determinant structure of the rational solutions for the Painlevé II equation 4693--4704 E. Lenglart and G. Gouesbet The separability ``theorem'' in terms of distributions with discussion of electromagnetic scattering theory . . . 4705--4710 Wolé \`Odúndún Remarks on the universal central extension of ${\rm sdiff}(T^2)_{\rm loc}$ . . . . . . . . . . . . . . . . . 4711--4715 G. Oliveira-Neto Identifying conical singularities . . . 4716--4723 P. Podle\'s Quasitriangularity and enveloping algebras for inhomogeneous quantum groups . . . . . . . . . . . . . . . . . 4724--4737 Harold Steinacker Integration on quantum Euclidean space and sphere . . . . . . . . . . . . . . . 4738--4749 M. Thoma and R. T. Sharp Orbit-orbit branching rules for families of classical Lie algebra-subalgebra pairs . . . . . . . . . . . . . . . . . 4750--4757 M. Torrisi and R. Tracin\`a and A. Valenti A group analysis approach for a nonlinear differential system arising in diffusion phenomena . . . . . . . . . . 4758--4767 M. Daniel and K. Porsezian and M. Lakshmanan Erratum: ``On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions'', [J. Math. Phys. \bf 35 (1994), no. 12, 6498--6510; MR 95h:82022] . . . . . . . . . . . . . . . 4768--4768 Laura M. Morato and Lorenza Viola Erratum: ``Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic spinless particle'', [J. Math. Phys. \bf 36 (1995), no. 9, 4691--4710; MR 96k:81122] 4769--4769
Federico Capasso and Jerome Faist and Carlo Sirtori Mesoscopic phenomena in semiconductor nanostructures by quantum design . . . . 4775--4791 M. Büttiker Dynamic conductance and quantum noise in mesoscopic conductors . . . . . . . . . 4793--4815 Carlo Presilla and Johannes Sjöstrand Transport properties in resonant tunneling heterostructures . . . . . . . 4816--4844 Leonid S. Levitov and Hyunwoo Lee and Gordey B. Lesovik Electron counting statistics and coherent states of electric current . . 4845--4866 P. Exner and P. \vSeba and M. Tater and D. Van\vek Bound states and scattering in quantum waveguides coupled laterally through a boundary window . . . . . . . . . . . . 4867--4887 S. Albeverio and F. Haake and P. Kurasov and M. Ku\'s and P. \vSeba $S$-matrix, resonances, and wave functions for transport through billiards with leads . . . . . . . . . . 4888--4903 P. W. Brouwer and C. W. J. Beenakker Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems 4904--4934 Vladimir I. Fal\cprimeko and K. B. Efetov Statistics of wave functions in mesoscopic systems . . . . . . . . . . . 4935--4967 A. V. Andreev and B. D. Simons and B. L. Altshuler Energy level correlations in disordered metals: beyond universality . . . . . . 4968--4985 Martin R. Zirnbauer Riemannian symmetric superspaces and their origin in random-matrix theory . . 4986--5018 Paul N. Walker and María José Sánchez and Michael Wilkinson Singularities in the spectra of random matrices . . . . . . . . . . . . . . . . 5019--5032 Alexei M. Khorunzhy and Boris A. Khoruzhenko and Leonid A. Pastur Asymptotic properties of large random matrices with independent entries . . . 5033--5060 John T. Chalker and Igor V. Lerner and Robert A. Smith Fictitious level dynamics: a novel approach to spectral statistics in disordered conductors . . . . . . . . . 5061--5086 Klaus Richter and Denis Ullmo and Rodolfo A. Jalabert Integrability and disorder in mesoscopic systems: application to orbital magnetism . . . . . . . . . . . . . . . 5087--5110 Sandro Graffi and André Martinez Ergodic properties of infinite quantum harmonic crystals: an analytic approach 5111--5135 Marco Lenci Ergodic properties of the quantum ideal gas in the Maxwell--Boltzmann statistics 5136--5157 Giorgio Parisi A mean field theory for arrays of Josephson junctions . . . . . . . . . . 5158--5170 V. A. Geyler and B. S. Pavlov and I. Yu. Popov Spectral properties of a charged particle in antidot array: a limiting case of quantum billiard . . . . . . . . 5171--5194 Italo Guarneri Singular continuous spectra and discrete wave packet dynamics . . . . . . . . . . 5195--5206 Ch. Kreft and R. Seiler Models of the Hofstadter-type . . . . . 5207--5243 Fabio Benatti Entropy of a subalgebra and quantum estimation . . . . . . . . . . . . . . . 5244--5258 R. Landauer Comment: ``Spatial variation of currents and fields due to localized scatterers in metallic conduction'' [IBM J. Res. Develop. \bf 1 (1957), 223--231; MR \bf 19, 805g]. With a reprint of the 1957 original . . . . . . . . . . . . . . . . 5259--5268
Glenn Barnich and Marc Henneaux Isomorphisms between the Batalin--Vilkovisky antibracket and the Poisson bracket . . . . . . . . . . . . 5273--5296 J. Beckers and N. Debergh On Green--Cusson ansätze and deformed supersymmetric quantum mechanics . . . . 5297--5309 M. Carvalho and L. C. Q. Vilar and C. A. G. Sasaki and S. P. Sorella Becchi--Rouet--Stora cohomology of zero curvature systems. I. The complete ladder case . . . . . . . . . . . . . . 5310--5324 M. Carvalho and L. C. Q. Vilar and C. A. G. Sasaki and S. P. Sorella Becchi--Rouet--Stora cohomology of zero curvature systems. II. The noncomplete ladder case . . . . . . . . . . . . . . 5325--5336 Hans Havlicek and Karl Svozil Density conditions for quantum propositions . . . . . . . . . . . . . . 5337--5341 Chang-Yeong Lee Geometrical interpretation of BRST symmetry in topological Yang--Mills--Higgs theory . . . . . . . 5342--5350 F. A. Lunev Reformulation of QCD in the language of general relativity . . . . . . . . . . . 5351--5367 Oliver Rudolph On the consistent effect histories approach to quantum mechanics . . . . . 5368--5379 K. Svozil and J. Tkadlec Greechie diagrams, nonexistence of measures in quantum logics, and Kochen--Specker-type constructions . . . 5380--5401 M. Szopa and G. Mys and A. Ceulemans The canonical form of the Rabi Hamiltonian . . . . . . . . . . . . . . 5402--5411 Y. Wang and Fu-Cho Pu Boson-fermion model with two-body interactions: exact results . . . . . . 5412--5423 Y. Wang and Fu-Cho Pu Exact results on a Dirac-like Lee model 5424--5428 Stephen L. Adler and L. P. Horwitz Microcanonical ensemble and algebra of conserved generators for generalized quantum dynamics . . . . . . . . . . . . 5429--5443 Alexander Val. Antoniouk and Alexandra Vict. Antoniouk Decay of correlations and uniqueness of Gibbs lattice systems with nonquadratic interaction . . . . . . . . . . . . . . 5444--5454 Sankar Chattopadhyay and Dipankar Ray Integration of thermodynamic identities for a relativistic general equation of state . . . . . . . . . . . . . . . . . 5455--5457 Pierluigi Contucci and Andreas Knauf The low activity phase of some Dirichlet series . . . . . . . . . . . . . . . . . 5458--5475 H. Cornille and A. d'Almeida Criteria for inverted temperatures in evaporation-condensation processes . . . 5476--5495 Serge Bouquet and H. Ralph Lewis Extension of Giacomini's results concerning invariants for one-dimensional time-dependent potentials . . . . . . . . . . . . . . . 5496--5508 Serge Bouquet and H. Ralph Lewis A second invariant for one-degree-of-freedom, time-dependent Hamiltonians given a first invariant . . 5509--5517 Ricardo Chacón and F. Balibrea and M. A. López Inhibition of chaotic escape from a potential well using small parametric modulations . . . . . . . . . . . . . . 5518--5523 Deng-yuan Chen and Da-jun Zhang Lie algebraic structures of $(1 + 1)$-dimensional Lax integrable systems 5524--5538 Simon Labrunie On the polynomial first integrals of the $(a,b,c)$ Lotka--Volterra system . . . . 5539--5550 D. Levi and P. Winternitz Symmetries of discrete dynamical systems 5551--5576 Tamás Tasnádi The behavior of nearby trajectories in magnetic billiards . . . . . . . . . . . 5577--5598 V. G. Bagrov and V. V. Obukhov and A. G. Sakhapov Integration of the Einstein--Dirac equations . . . . . . . . . . . . . . . 5599--5610 Shuxue Ding and Yasushige Maeda and Masaru Siino Four-dimensional quantum topology changes of space--times . . . . . . . . 5611--5626 Tevian Dray Einstein's equations in the presence of signature change . . . . . . . . . . . . 5627--5636 K. A. Dunn and Tina A. Harriott and J. G. Williams Kinks and geodesic incompleteness . . . 5637--5651 Reinaldo J. Gleiser and Alexander Garate and Carlos O. Nicasio Topological properties of single gravisolitons . . . . . . . . . . . . . 5652--5664 Michael Heller and Wies\law Sasin Noncommutative structure of singularities in general relativity . . 5665--5671 R. Mansouri and M. Khorrami The equivalence of Darmois--Israel and distributional method for thin shells in general relativity . . . . . . . . . . . 5672--5683 G. F. Torres del Castillo Gravitational and electromagnetic perturbations of the Schwarzschild solution . . . . . . . . . . . . . . . . 5684--5694 Elisa Brinis Udeschini and Giulio Magli A null-tetrad approach to Kerr--Schild gravitational fields in matter . . . . . 5695--5714 Sergei Alexandrov and Dmitri Vassilevich Heat kernel for nonminimal operators on a Kähler manifold . . . . . . . . . . . . 5715--5718 Sigitas Ali\vsauskas Towards the canonical tensor operators of ${\rm u}_q(3)$. I. The maximal null space case . . . . . . . . . . . . . . . 5719--5746 R. Bautista and A. Criscuolo and M. \Dbarur\dbarevi\'c and M. Rosenbaum and J. D. Vergara Quantum Clifford algebras from spinor representations . . . . . . . . . . . . 5747--5775 Jiasu Cao and Sailing He and Vaughan H. Weston An ill-posed problem of the continuation of transient data for a hyperbolic equation in a three-dimensional inhomogeneous half-space . . . . . . . . 5776--5791 Bartolomé Coll and Fernando San José Martínez On the Lie algebras generated by two two-forms in Minkowski space--time . . . 5792--5804 H. Falomir and R. E. Gamboa Saraví and M. A. Muschietti and E. M. Santangelo and J. E. Solomin Determinants of Dirac operators with local boundary conditions . . . . . . . 5805--5819 Cezary Gonera and Piotr Kosi\'nski and Pawe\l Ma\'slanka Differential calculi on quantum Minkowski space . . . . . . . . . . . . 5820--5827 S. Rabinovich and G. Berkolaiko and S. Havlin Solving nonlinear recursions . . . . . . 5828--5836 Z. Suchanecki and I. Antoniou and S. Tasaki and O. F. Bandtlow Rigged Hilbert spaces for chaotic dynamical systems . . . . . . . . . . . 5837--5847 Terry Tao and Andrew C. Millard On the structure of projective group representations in quaternionic Hilbert space . . . . . . . . . . . . . . . . . 5848--5857 N. W. van den Hijligenberg and Yu. Yu. Kotchetkov The absolute rigidity of the Neveu--Schwarz and Ramond superalgebras 5858--5868 G. G. Varzugin Asymptotics of oscillatory Riemann--Hilbert problems . . . . . . . 5869--5892
Tuncay Aktosun and Martin Klaus and Cornelis van der Mee Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations . . . . . . . . . . . . . . . 5897--5915 Jean-Louis Basdevant and André Martin $l^P$ interpolation and optimized bounds on pairwise interacting fermion systems 5916--5927 B. Baumgartner Interchannel resonances at a threshold 5928--5938 V. Bezák Transmission of conduction electrons through a symmetric pair of delta-barriers or delta-wells embedded in a semiconductor or a metal . . . . . 5939--5957 J. A. Brooke and F. E. Schroeck, Jr. Localization of the photon on phase space . . . . . . . . . . . . . . . . . 5958--5986 Kazuyuki Fujii and Kunio Funahashi Multi-periodic coherent states and the WKB exactness . . . . . . . . . . . . . 5987--6011 C. A. P. Galvão and Y. Nutku Hamiltonian structure of Dubrovin's equation of associativity in $2$-d topological field theory . . . . . . . . 6012--6017 Jonathan Gratus and Robin W. Tucker Classical and quantum implications of the causality structure of two-dimensional space--times with degenerate metrics . . . . . . . . . . . 6018--6032 K. A. Kiers and W. van Dijk Scattering in one dimension: the coupled Schrödinger equation, threshold behaviour and Levinson's theorem . . . . . . . . . 6033--6059 D. J. Navarro and J. Navarro-Salas Special-relativistic harmonic oscillator modeled by Klein--Gordon theory in anti-de Sitter space . . . . . . . . . . 6060--6073 Yüji Ohta Prepotential of $N = 2 {\rm SU}(2)$ Yang--Mills gauge theory coupled with a massive matter multiplet . . . . . . . . 6074--6085 S. Schreckenberg Symmetry and history quantum theory: an analog of Wigner's theorem . . . . . . . 6086--6105 Hyun Seok Yang and Bum-Hoon Lee Lie algebra cohomology and group structure of gauge theories . . . . . . 6106--6120 L. P. Colatto and J. L. Matheus-Valle On $q$-deformed supersymmetric classical mechanical models . . . . . . . . . . . 6121--6129 Boris M. Shevtsov Inverse problem in nonstationary multidimensional medium . . . . . . . . 6130--6138 Vladimir Saveliev A temperature and mass dependence of the linear Boltzmann collision operator from group theory point of view . . . . . . . 6139--6151 Peter Constantin and Charles R. Doering and Edriss S. Titi Rigorous estimates of small scales in turbulent flows . . . . . . . . . . . . 6152--6156 A. Ibort and L. Martínez Alonso and E. Medina Reus Explicit solutions of supersymmetric KP hierarchies: supersolitons and solitinos 6157--6172 Y. Kosmann-Schwarzbach and F. Magri Lax--Nijenhuis operators for integrable systems . . . . . . . . . . . . . . . . 6173--6197 Simon Labrunie and Robert Conte A geometrical method towards first integrals for dynamical systems . . . . 6198--6206 Attilio Maccari The Kadomtsev--Petviashvili equation as a source of integrable model equations 6207--6212 Walter Oevel and Walter Strampp Wronskian solutions of the constrained Kadomtsev--Petviashvili hierarchy . . . 6213--6219 Cristina Soto-Treviño and Tasso J. Kaper Higher-order Melnikov theory for adiabatic systems . . . . . . . . . . . 6220--6249 A. Ashtekar and M. Pierri Probing quantum gravity through exactly soluble midi-superspaces. I . . . . . . 6250--6270 V. B. Bezerra and P. S. Letelier Loop variables and holonomies for a class of conical space--times . . . . . 6271--6282 J. Ibáñez and I. Olasagasti Asymptotic behavior of a class of inhomogeneous scalar field cosmologies 6283--6292 José W. Maluf On the distribution of gravitational energy in the de Sitter space . . . . . 6293--6301 J. W. Maluf and E. F. Martins and A. Kneip Gravitational energy of rotating black holes . . . . . . . . . . . . . . . . . 6302--6310 M. Bordemann and M. Brischle and C. Emmrich and S. Waldmann Subalgebras with converging star products in deformation quantization: an algebraic construction for ${\bf C}{\rm P}^n$ . . . . . . . . . . . . . . . . . 6311--6323 A. G. Bytsko and L. D. Faddeev $(T^*{\scr B})_q, q$-analog of model space and the Clebsch--Gordan coefficients generating matrices . . . . 6324--6348 Michel Daumens and Pierre Minnaert Relations between the Casimir operators of ${\rm sl}(1 \vert 2)$ and ${\rm osp}(2 \vert 2)$ superalgebras . . . . . 6349--6352 Hartmut Führ Wavelet frames and admissibility in higher dimensions . . . . . . . . . . . 6353--6366 Nobuhisa Fukushima An algebra arising from $2$-state chiral Potts model and Sklyanin algebra . . . . 6367--6374 Christian Gross Cohomology and connections on fiber bundles and applications to field theories . . . . . . . . . . . . . . . . 6375--6394 Thomas Guhr and Tilo Wettig An Itzykson--Zuber-like integral and diffusion for complex ordinary and supermatrices . . . . . . . . . . . . . 6395--6413 Rafael Hernández Heredero and Peter J. Olver Classification of invariant wave equations . . . . . . . . . . . . . . . 6414--6438 E. G. Kalnins and W. Miller, Jr. and G. S. Pogosyan Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions . . . . 6439--6467 W. H. Klink and T. Ton-That Multiplicity, invariants, and tensor product decompositions of compact groups 6468--6485 Khalid Latrach and Aref Jeribi On the essential spectrum of transport operators on $L_1$-spaces . . . . . . . 6486--6494 Shahn Majid Braided geometry of the conformal algebra . . . . . . . . . . . . . . . . 6495--6509 Javier Mas and Marcos Seco The algebra of $q$-pseudodifferential symbols and the $q$-$W^{(n)}_{\rm KP}$ algebra . . . . . . . . . . . . . . . . 6510--6529 J. S. Prakash and H. S. Sharatchandra A calculus for ${\rm SU}(3)$ leading to an algebraic formula for the Clebsch--Gordan coefficients . . . . . . 6530--6569 M. Thoma and R. T. Sharp Orbit-orbit branching rules between classical simple Lie algebras and maximal reductive subalgebras . . . . . 6570--6581 Gérard G. Emch Comments on a recent paper by S. L. Adler: ``Projective group representations in quaternionic Hilbert spaces'', [J. Math. Phys. \bf 37 (1996), no. 5, 2352--2360; 1385834] . . . . . . 6582--6585 Stephen L. Adler Response to: ``Comments on a recent paper by S. L. Adler: `Projective group representations in quaternionic Hilbert spaces'\,'', [J. Math. Phys. \bf 37 (1996), no. 12, 6582--6585; 1419186] by G. Emch . . . . . . . . . . . . . . . . 6586--6589 Joe F. Q. Fernandes and Anthony W. C. Lun Erratum: ``Gauge invariant perturbations of black holes. I. Schwarzschild space--time'', [J. Math. Phys. \bf 37 (1996), no. 2, 836--857; MR 96k:83073] 6590--6590 Radhika Vathsan Erratum: ``Remarks on the quantization of gauge theories'' . . . . . . . . . . 6590--6590 Anonymous Summary of the Physics and Astronomy Classification Scheme --- 1996 . . . . . 6591--6591 Anonymous Summary of PACS Headings in Current Index . . . . . . . . . . . . . . . . . 6592--6595 Anonymous Subject Index to Volume 37 . . . . . . . 6596--6626 Anonymous Author Index to Volume 37 . . . . . . . 6627--6649
Philippe Blanchard and Piotr Garbaczewski and Robert Olkiewicz Non-negative Feynman--Kac kernels in Schrödinger's interpolation problem . . . 1--15 T. Dolinszky Scattering by singular potentials. B. Varying the linear parameters . . . . . 16--29 Dae Sung Hwang and Chang-Yeong Lee Non-abelian topological mass generation in four dimensions . . . . . . . . . . . 30--38 Wolf Jung Geometrical approach to inverse scattering for the Dirac equation . . . 39--48 V. Karimipour and A. Mostafazadeh Lattice topological field theory on nonorientable surfaces . . . . . . . . . 49--66 S\lawomir Klimek and Andrzej Le\'sniewski and Neepa Maitra and Ron Rubin Ergodic properties of quantized toral automorphisms . . . . . . . . . . . . . 67--83 Michael Martin Nieto and D. Rodney Truax Displacement-operator squeezed states. I. Time-dependent systems having isomorphic symmetry algebras . . . . . . 84--97 Michael Martin Nieto and D. Rodney Truax Displacement-operator squeezed states. II. Examples of time-dependent systems having isomorphic symmetry algebras . . 98--114 Oskar Pelc and L. P. Horwitz Construction of a complete set of states in relativistic scattering theory . . . 115--138 Oskar Pelc and L. P. Horwitz Generalization of the Coleman--Mandula theorem to higher dimension . . . . . . 139--172 Tomasz Zastawniak Geometrical stochastic control and quantization . . . . . . . . . . . . . . 173--181 Sailing He and Vaughan H. Weston Three-dimensional electromagnetic inverse scattering for bi-isotropic dispersive media . . . . . . . . . . . . 182--195 A. V. Tsiganov The Kowalewski top: a new Lax representation . . . . . . . . . . . . . 196--211 Gulmaro Corona-Corona Hamiltonian structure for degenerate AKNS systems . . . . . . . . . . . . . . 212--225 Nian-Ning Huang and Zong-Yun Chen and Xiang-Jun Chen An inverse scattering transform for the MKdV equation with non-vanishing boundary value . . . . . . . . . . . . . 226--246 Alex Kasman Orthogonal polynomials and the finite Toda lattice . . . . . . . . . . . . . . 247--254 Yasuo Kawahara and Hyen Yeal Lee Period lengths of cellular automata ${\rm cam}$-$90$ with memory . . . . . . 255--266 Charles Knessl and Joseph B. Keller Advection diffusion past a strip. I. Normal incidence . . . . . . . . . . . . 267--282 Ignace Loris and Ralph Willox On solutions of constrained KP equations 283--291 R. Radha and M. Lakshmanan Exotic coherent structures in the $(2 + 1)$-dimensional long dispersive wave equation . . . . . . . . . . . . . . . . 292--299 W. D. Thacker A path integral for turbulence in incompressible fluids . . . . . . . . . 300--320 Yunbo Zeng Separation of variables for the constrained flows . . . . . . . . . . . 321--329 Joe F. Q. Fernandes and Anthony W. C. Lun Gauge invariant perturbations of black holes. II. Kerr space--time . . . . . . 330--349 Masayuki Tanimoto and Tatsuhiko Koike and Akio Hosoya Dynamics of compact homogeneous universes . . . . . . . . . . . . . . . 350--368 D. Bonatsos and C. Daskaloyannis and P. Kolokotronis and A. Ludu and C. Quesne A nonlinear deformed ${\rm su}(2)$ algebra with a two-color quasitriangular Hopf structure . . . . . . . . . . . . . 369--386 Jin-Quan Chen and Jia-Lun Ping Algebraic expressions for irreducible bases of icosahedral group . . . . . . . 387--410 Heng Fan and Bo-yu Hou and Kang-jie Shi Drinfeld constructions of the quantum affine superalgebra $U_q(\widehat{{\rm gl}(m/n)})$ . . . . . . . . . . . . . . 411--433 B. G. Konopelchenko Soliton curvatures of surfaces and spaces . . . . . . . . . . . . . . . . . 434--457 José W. Maluf and Andreas Kneip Gravitational energy of conical defects 458--465 A. K. Mishra and G. Rajasekaran Fock space representation of differential calculus on the noncommutative quantum space . . . . . . 466--475 A. I. Mudrov On quantization of $Z_2$-graded algebras 476--483 Charles Schwartz Nonlinear operators and their propagators . . . . . . . . . . . . . . 484--500 J. Tolar and P. Trávní\vcek Graded contractions of symplectic Lie algebras in collective models . . . . . 501--523 Shuzhou Wang Krein duality for compact quantum groups 524--534 R. B. Zhang Symmetrizable quantum affine superalgebras and their representations 535--543 C. Chicone and B. Mashhoon and D. G. Retzloff Addendum: ``On the ionization of a Keplerian binary system by periodic gravitational radiation'', [J. Math. Phys. \bf 37 (1996), no. 8, 3997--4016; MR 97d:70012] . . . . . . . . . . . . . 544--544
Mitsuo Abe and Noriaki Ikeda and Noboru Nakanishi Operator ordering index method for multiple commutators and Suzuki's quantum analysis . . . . . . . . . . . . 547--555 Stefan Benvegn\`u Relativistic point interaction with Coulomb potential in one dimension . . . 556--570 S. R. Corley and O. W. Greenberg Bound states in Galilean-invariant quantum field theory . . . . . . . . . . 571--581 Stefano De Leo and Khaled Abdel-Khalek Octonionic representations of ${\rm GL}(8,\bf R)$ and ${\rm GL}(4,\bf C)$ 582--598 Rafael Ferraro and Claudio Simeone Canonical gauges in the path integral for parametrized systems . . . . . . . . 599--610 T. Fülöp Relativistic quantum mechanics on the ${\rm SL}(2,\bold R)$ space--time . . . 611--621 Cl. Gabriel and Ph. Spindel Massive spin-$2$ propagators on de Sitter space . . . . . . . . . . . . . . 622--638 Wolfgang Lay The quartic oscillator . . . . . . . . . 639--647 R. R. Metsaev Massless fields in plane wave geometry 648--667 C. Mukku Fermion determinants and effective actions . . . . . . . . . . . . . . . . 668--681 Y\Huji Ohta Prepotentials of $N = 2 {\rm SU}(2)$ Yang--Mills theories coupled with massive matter multiplets . . . . . . . 682--696 Roland Omn\`es Quantum-classical correspondence using projection operators . . . . . . . . . . 697--707 Roland Omn\`es Localization of relativistic particles 708--715 Seiji Sakoda and Minoru Omote Aharonov--Bohm scattering: the role of the incident wave . . . . . . . . . . . 716--737 Oliver Schnetz Natural renormalization . . . . . . . . 738--758 S. Schreckenberg Symmetries of decoherence functionals 759--769 V. Sordoni Instantons and splitting . . . . . . . . 770--795 Floyd L. Williams Topological Casimir energy for a general class of Clifford--Klein space--times 796--808 Bang-Rong Zhou Exact solutions of linearized Schwinger--Dyson equation of fermion self-energy . . . . . . . . . . . . . . 809--820 F. Calogero Motion of strings in the plane: a solvable model. I . . . . . . . . . . . 821--829 Eric M. Kramer The von Karman equations, the stress function, and elastic ridges in high dimensions . . . . . . . . . . . . . . . 830--846 Gennadi A. Sardanashvily Stress-energy-momentum tensors in constraint field theories . . . . . . . 847--866 John Gough The interacting-free quantum stochastic limit of quantum field theory . . . . . 867--881 Luiz A. Ferreira and J. Luis Miramontes and Joaquín Sánchez Guillén Tau-functions and dressing transformations for zero-curvature affine integrable equations . . . . . . 882--901 Charles Knessl and Joseph B. Keller Advection-diffusion past a strip. II. Oblique incidence . . . . . . . . . . . 902--925 Andrew McDaniel and Lawrence Smolinsky The flow of the $G_2$ periodic Toda lattice . . . . . . . . . . . . . . . . 926--945 M. O. Katanaev Euclidean two-dimensional gravity with torsion . . . . . . . . . . . . . . . . 946--980 Chao-zheng Zha and Wei-zhong Zhao The universal anomalies and condition for anomaly-free high-order Virasoro algebra . . . . . . . . . . . . . . . . 981--988 Y. Brihaye and Stefan Giller and Piotr Kosinski Linear operators with invariant polynomial space and graded algebra . . 989--999 Peter Bueken Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures $\rho_1=\rho_2 \neq \rho_3$ . . . . . . 1000--1013 G. A. T. F. da Costa Feynman identity: a special case. I . . 1014--1034 Steven Duplij Noninvertible $N=1$ superanalog of complex structure . . . . . . . . . . . 1035--1040 Alain Lascoux and Bernard Leclerc and Jean-Yves Thibon Ribbon tableaux, Hall--Littlewood functions, quantum affine algebras, and unipotent varieties . . . . . . . . . . 1041--1068 S. N. M. Ruijsenaars First order analytic difference equations and integrable quantum systems 1069--1146 G. Scolarici and L. Solombrino Quaternionic representations of magnetic groups . . . . . . . . . . . . . . . . . 1147--1160 Pavel \vS\vtoví\vcek and Reidun Twarock Representations of $\scr U_h(\germ s\germ u(N))$ derived from quantum flag manifolds . . . . . . . . . . . . . . . 1161--1182 Masuo Suzuki Compact exponential product formulas and operator functional derivative . . . . . 1183--1196 R. Z. Zhdanov Separation of variables in $(1 + 2)$-dimensional Schrödinger equations . . 1197--1217 Edward H. Kerner Comment on Hamiltonian structures for the $n$-dimensional Lotka--Volterra equations . . . . . . . . . . . . . . . 1218--1223 F. Delduc and E. Ivanov and S. Krivonos Erratum: ``$N=4$ super KdV hierarchy in $N=4$ and $N = 2$ superspaces'', [J. Math. Phys. 37 (1996), no. 3, 1356--1381; MR 97e:58106] . . . . . . . 1224--1224
Jens Böckenhauer and Jürgen Fuchs Higher level WZW sectors from free fermions . . . . . . . . . . . . . . . . 1227--1256 H. S. Booth and C. J. Radford The Dirac--Maxwell equations with cylindrical symmetry . . . . . . . . . . 1257--1268 Lionel Carminati and Bruno Iochum and Thomas Schücker The noncommutative constraints on the standard model \`a la Connes . . . . . . 1269--1280 Ho-Meoyng Choi and Chueng-Ryong Ji and Hyun Kyu Lee Non-abelian Berry's phase in a slowly rotating electric field . . . . . . . . 1281--1288 László Erd\Hos Dia- and paramagnetism for nonhomogeneous magnetic fields . . . . . 1289--1317 Martin Florig and Stephen J. Summers On the statistical independence of algebras of observables . . . . . . . . 1318--1328 Bjòrn Jensen Geometries of relativistic strings and other $p$-branes . . . . . . . . . . . . 1329--1346 Achim Kempf On quantum field theory with nonzero minimal uncertainties in positions and momenta . . . . . . . . . . . . . . . . 1347--1372 Markus Klein and André Martinez and Xue Ping Wang On the Born--Oppenheimer approximation of diatomic wave operators. II. Singular potentials . . . . . . . . . . . . . . . 1373--1396 L. Martina and O. K. Pashaev and G. Soliani Topological field theories and integrable models . . . . . . . . . . . 1397--1412 Seichi Naito Inlaying vertex function and scattering amplitude . . . . . . . . . . . . . . . 1413--1453 Miguel Navarro and Victor Aldaya and Manuel Calixto Group quantization on configuration space: gauge symmetries and linear fields . . . . . . . . . . . . . . . . . 1454--1476 Ricardo Chacón Chaos and geometrical resonance in the damped pendulum subjected to periodic pulses . . . . . . . . . . . . . . . . . 1477--1483 Phillipe Donnat and Jeffrey Rauch Dispersive nonlinear geometric optics 1484--1523 Subhankar Ray Bethe ansatz study for ground state of Fateev Zamolodchikov model . . . . . . . 1524--1558 H. Aratyn and L. A. Ferreira and J. F. Gomes and A. H. Zimerman Constrained KP models as integrable matrix hierarchies . . . . . . . . . . . 1559--1576 V. Karimipour A solvable Hamiltonian system: integrability and action-angle variables 1577--1582 Manuel Núñez Some rigorous results for the kinematic dynamo problem with general boundary conditions . . . . . . . . . . . . . . . 1583--1592 Marcus Kriele and Sean A. Hayward Outer trapped surfaces and their apparent horizon . . . . . . . . . . . . 1593--1604 A. O. Petters Multiplane gravitational lensing. III. Upper bound on number of images . . . . 1605--1613 R. Steinbauer The ultrarelativistic Reissner--Nordstròm field in the Colombeau algebra . . . . . 1614--1622 Ahmad T. Abawi and Roger F. Dashen and Herbert Levine The eigenvalues of the Laplacian on a sphere with boundary conditions specified on a segment of a great circle 1623--1649 Viktor Abramov and Richard Kerner and Bertrand Le Roy Hypersymmetry: a $Z_3$-graded generalization of supersymmetry . . . . 1650--1669 P. Baguis and T. Stavracou Marsden--Weinstein reduction on graded symplectic manifolds . . . . . . . . . . 1670--1684 Adam Doliwa Harmonic maps and periodic Toda systems 1685--1691 E. V. Gorbar Heat kernel expansion for operators containing a root of the Laplace operator . . . . . . . . . . . . . . . . 1692--1699 Robert D. Kent and Mordechay Schlesinger Multibody operator matrix elements and subduction coefficients in ${\rm U}(n)$. II . . . . . . . . . . . . . . . . . . . 1700--1709 L. L. Salcedo Representation of complex probabilities 1710--1722 David J. N. Wall and Peter Olsson Invariant imbedding and hyperbolic heat waves . . . . . . . . . . . . . . . . . 1723--1749
J. Bellissard Introduction [to special issue on condensed matter physics] . . . . . . . 1753--1756 Vojkan Jak\vsi\'c and Claude-Alain Pillet Spectral theory of thermal relaxation. Quantum problems in condensed matter physics . . . . . . . . . . . . . . . . 1757--1780 E. Akkermans Twisted boundary conditions and transport in disordered systems. Quantum problems in condensed matter physics . . 1781--1793 S. Roche and G. Trambly de Laissardi\`ere and D. Mayou Electronic transport properties of quasicrystals. Quantum problems in condensed matter physics . . . . . . . . 1794--1822 Johannes Kellendonk Topological equivalence of tilings. Quantum problems in condensed matter physics . . . . . . . . . . . . . . . . 1823--1842 J.-P. Allouche Schrödinger operators with Rudin--Shapiro potentials are not palindromic. Quantum problems in condensed matter physics . . 1843--1848 N. Destainville and J. F. Sadoc Excitations in one dimension: a geometrical view of the transfer matrix method. Quantum problems in condensed matter physics . . . . . . . . . . . . . 1849--1863 Peter Varga Taming of the wild group of magnetic translations. Quantum problems in condensed matter physics . . . . . . . . 1864--1869 Thomas Guhr and Axel Müller-Groeling Spectral correlations in the crossover between GUE and Poisson regularity: on the identification of scales. Quantum problems in condensed matter physics . . 1870--1887 Alexander D. Mirlin Spatial structure of anomalously localized states in disordered conductors. Quantum problems in condensed matter physics . . . . . . . . 1888--1917 Yan V. Fyodorov and Hans-Jürgen Sommers Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: random matrix approach for systems with broken time-reversal invariance. Quantum problems in condensed matter physics . . 1918--1981 B. D. Simons and O. Agam and A. V. Andreev Time-reversal symmetry breaking and the field theory of quantum chaos. Quantum problems in condensed matter physics . . 1982--2006 Martin R. Zirnbauer Toward a theory of the integer quantum Hall transition: continuum limit of the Chalker--Coddington model. Quantum problems in condensed matter physics . . 2007--2036 N. H. March Density matrices for itinerant and localized electrons with and without external fields. Quantum problems in condensed matter physics . . . . . . . . 2037--2052 Geoffrey L. Sewell Off-diagonal long range order and superconductive electrodynamics. Quantum problems in condensed matter physics . . 2053--2071 Volker Bach and Jurij Poelchau Accuracy of the Hartree--Fock approximation for the Hubbard model. Quantum problems in condensed matter physics . . . . . . . . . . . . . . . . 2072--2083 N. Macris and J. L. Lebowitz Ground states and low-temperature phases of itinerant electrons interacting with classical fields: a review of rigorous results. Quantum problems in condensed matter physics . . . . . . . . . . . . . 2084--2103 C. Baesens and R. S. MacKay Finite coherence length for equilibrium states of generalized adiabatic Holstein models. Quantum problems in condensed matter physics . . . . . . . . . . . . . 2104--2114
Stephen L. Adler and Andrew C. Millard Coherent states in quaternionic quantum mechanics . . . . . . . . . . . . . . . 2117--2126 Karlheinz Bay and Wolfgang Lay The spectrum of the quartic oscillator 2127--2131 Gordon Chan and Robert Finkelstein and Vadim Oganesyan The $q$-isotropic oscillator . . . . . . 2132--2147 W.-S. Chung The ${\rm gl}_{\sqrt q}(n)$-covariant oscillators and $q$-deformed quantum mechanics in $n$ dimensions . . . . . . 2148--2153 Hong-Chen Fu and Ryu Sasaki Hypergeometric states and their nonclassical properties . . . . . . . . 2154--2166 D. M. Gitman and A. E. Gonçalves Pseudoclassical model for Weyl particle in 10 dimensions . . . . . . . . . . . . 2167--2170 R. J. Henderson and S. G. Rajeev Renormalized path integral in quantum mechanics . . . . . . . . . . . . . . . 2171--2180 H. Jallouli and H. Sazdjian Incorporation of anomalous magnetic moments in the two-body relativistic wave equations of constraint theory . . 2181--2196 Stephen G. Low Canonically relativistic quantum mechanics: representations of the unitary semidirect Heisenberg group, ${\rm U}(1,3) \otimes _sH(1,3)$ . . . . 2197--2209 A. P. C. Malbouisson and B. F. Svaiter and N. F. Svaiter Analytic regularization of the Yukawa model at finite temperature . . . . . . 2210--2218 Mihaela Manoliu Quantization of symplectic tori in a real polarization . . . . . . . . . . . 2219--2254 Igor Pris and Thomas Schücker Noncommutative geometry beyond the standard model . . . . . . . . . . . . . 2255--2265 A. B. Pushnitski The spectrum of Liouville operators and multiparticle Hamiltonians associated to one-particle Hamiltonians with singular continuous spectrum . . . . . . . . . . 2266--2273 Paul B. Slater Information gains expected from separate and joint measurements of $N$ identical spin-$1/2$ systems: noninformative Bayesian analyses . . . . . . . . . . . 2274--2280 Herbert Spohn Asymptotic completeness for Rayleigh scattering . . . . . . . . . . . . . . . 2281--2296 J. G. Cardoso Wave equations and kinematical integrals for complexified Maxwell--Klein--Gordon fields . . . . . . . . . . . . . . . . . 2297--2307 J. Goldberg and Thomas Berger and Roger Dashen Uniform high frequency approximation to scattering from infinite strip . . . . . 2308--2331 Raúl Ibáñez and Manuel de León and Juan C. Marrero and David Martín de Diego Dynamics of generalized Poisson and Nambu--Poisson brackets . . . . . . . . 2332--2344 E. G. Kalnins and S. Benenti and Willard Miller, Jr. Integrability, Stäckel spaces, and rational potentials . . . . . . . . . . 2345--2365 N. Magnoli and G. A. Viano The source identification problem in electromagnetic theory . . . . . . . . . 2366--2388 W. D. Thacker New formulation of the classical path integral with reparametrization invariance . . . . . . . . . . . . . . . 2389--2416 Masahiro Uehara and Ken'ichiro Yashiro and Sumio Ohkawa A method for solving Riemann--Hilbert boundary value problems in nonreciprocal wave propagation . . . . . . . . . . . . 2417--2434 Harry W. Woodcock Multiple-time constants of the motion for manifestly Poincaré-invariant Newtonian-like equations of motion for point particles . . . . . . . . . . . . 2435--2452 V. Uchaikin and G. Gusarov Lévy flight applied to random media problems . . . . . . . . . . . . . . . . 2453--2464 Jinqiao Duan and Charles Bu and Hongjun Gao and Mario Taboada On a coupled Kuramoto--Sivashinsky and Ginzburg--Landau-type model for the Marangoni convection . . . . . . . . . . 2465--2474 J. Ginibre and G. Velo Localized estimates and Cauchy problem for the logarithmic complex Ginzburg--Landau equation . . . . . . . 2475--2482 K. Kowalski Nonlinear dynamical systems and classical orthogonal polynomials . . . . 2483--2505 T. D. Palev and N. I. Stoilova Many-body Wigner quantum systems . . . . 2506--2523 Bixiang Wang and Boling Guo Attractors for the Davey--Stewartson systems on ${\bf R}^2$ . . . . . . . . . 2524--2534 Ruguang Zhou The finite-band solution of the Jaulent--Miodek equation . . . . . . . . 2535--2546 Daud Ahmad and M. Ziad Homothetic motions of spherically symmetric space--times . . . . . . . . . 2547--2552 Valdir B. Bezerra Global effects due to a chiral cone . . 2553--2564 Luis P. Chimento Form invariance of differential equations in general relativity . . . . 2565--2576 James B. Hartle and Zoltan Perjés Solutions of the Regge equations on some triangulations of ${\bf C}{\rm P}^2$ . . 2577--2586 S. M. Kopeikin Propagation of light in the stationary field of multipole gravitational lens 2587--2601 Andrzej Krasi\'nski and Hernando Quevedo and Roberto A. Sussman On the thermodynamical interpretation of perfect fluid solutions of the Einstein equations with no symmetry . . . . . . . 2602--2610 Ulf S. Nilsson and Claes Uggla Stationary Bianchi type II perfect fluid models . . . . . . . . . . . . . . . . . 2611--2615 Dahl Park and Jae Kwan Kim General static axially symmetric solutions of $(2 + 1)$-dimensional Einstein--Maxwell-dilaton theory . . . . 2616--2625 S. Bruce and P. Salgado Affine realizations of sphere algebras 2626--2630 V. K. Dobrev and P. Truini Irregular $U_q({\rm sl}(3))$ representations at roots of unity via Gel\cprimefand-(Weyl)-Zetlin basis . . . 2631--2651 Bernhard Drabant Differential Hopf algebra structure of the quantum standard complex . . . . . . 2652--2659 Jeong-Hoon Kim An asymptotic limit law with a singularly perturbed drift and a random noise . . . . . . . . . . . . . . . . . 2660--2675 Pierre Minnaert and Marek Mozrzymas Analytical formulas for Racah coefficients and $6$-$j$ symbols of the quantum superalgebra $U_q({\rm osp}(1 \vert 2))$ . . . . . . . . . . . . . . . 2676--2693 L. K. Norris Schouten--Nijenhuis brackets . . . . . . 2694--2709 Govindan Rangarajan Representations of ${\rm Sp}(6,{\bf R})$ and ${\rm SU}(3)$ carried by homogeneous polynomials . . . . . . . . . . . . . . 2710--2719 Aleksander Strasburger and Arkadiusz Or\lowski Weighted class operators: a new approach to tensor operators for compact groups 2720--2727 J. Van der Jeugt Coupling coefficients for Lie algebra representations and addition formulas for special functions . . . . . . . . . 2728--2740 Roman R. Zapatrin Polyhedral representations of discrete differential manifolds . . . . . . . . . 2741--2750 U. D. J. Gieseler and J. G. Kirk Comment on: ``Diffusion through a slab'', [J. Math. Phys. \bf 36 (1995), no. 12, 6758--6773; MR 96j:82040] by G. D. Mahan . . . . . . . . . . . . . . . . 2751--2754 Alexander Wurm and John LaChapelle Comment on: ``Path integral solution of the Schrödinger equation in curvilinear coordinates: a straightforward procedure'', [J. Math. Phys. \bf 37 (1996), no. 9, 4310--4319; MR 97i:81064] by LaChapelle . . . . . . . . . . . . . 2755--2757 Anonymous Announcement: Online Access to Journal of Mathematical Physics . . . . . . . . i--i
Silke Arians Geometric approach to inverse scattering for the Schrödinger equation with magnetic and electric potentials . . . . 2761--2773 I. Brevik and R. Sollie On the Casimir energy for a $2N$-piece relativistic string . . . . . . . . . . 2774--2785 Radu Constantinescu The generalized Koszul differential in the BRST quantization . . . . . . . . . 2786--2794 Federico Finkel and Artemio González-López and Miguel A. Rodríguez Quasi-exactly solvable spin $1/2$ Schrödinger operators . . . . . . . . . . 2795--2811 Kazuyuki Fujii and Kunio Funahashi Multiperiodic coherent states and the Wentzel--Kramers--Brillouin exactness. II. Noncompact case and classical theories revisited . . . . . . . . . . . 2812--2831 M. N. Hounkonnou and M. Hounkpe and J. Shabani Scattering theory for finitely many sphere interactions supported by concentric spheres . . . . . . . . . . . 2832--2850 G. Jorjadze Constrained quantization on symplectic manifolds and quantum distribution functions . . . . . . . . . . . . . . . 2851--2879 A. F. Krutov and D. I. Muravyev and V. E. Troitsky A factorization of a special type $S$ matrix into Jost matrices . . . . . . . 2880--2887 A. Liguori and M. Mintchev and M. Rossi Fock representations of exchange algebras with involution . . . . . . . . 2888--2898 S. M. McRae and E. R. Vrscay Perturbation theory and the classical limit of quantum mechanics . . . . . . . 2899--2921 Valter Moretti Canonical quantization of photons in a Rindler wedge . . . . . . . . . . . . . 2922--2953 Y\Huji Ohta Langevin approach for abelian topological gauge theory . . . . . . . . 2954--2962 B. Sarel and L. P. Horwitz A chiral spin theory in the framework of an invariant evolution parameter formalism . . . . . . . . . . . . . . . 2963--2995 G. F. Torres del Castillo and L. C. Cortés-Cuautli Solution of the Dirac equation in the field of a magnetic monopole . . . . . . 2996--3006 A. N. Leznov and B. Piette and W. J. Zakrzewski On the integrability of pure Skyrme models in two dimensions . . . . . . . . 3007--3011 Christof Mackrodt and Helmut Reeh Summational invariants . . . . . . . . . 3012--3019 E. G. Beltrametti and S. Bugajski Effect algebras and statistical physical theories . . . . . . . . . . . . . . . . 3020--3030 Peter Constantin and Jiahong Wu Statistical solutions of the Navier--Stokes equations on the phase space of vorticity and the inviscid limits . . . . . . . . . . . . . . . . . 3031--3045 Masayoshi Tsutsumi and Hironori Kasai and Takeshi \=Oishi The Meissner effect and the Ginzburg--Landau equations in the presence of an applied magnetic field 3046--3054 Manuel de León and David Martín de Diego A constraint algorithm for singular Lagrangians subjected to nonholonomic constraints . . . . . . . . . . . . . . 3055--3062 V. Dragovi\'c and B. Jovanovi\'c On integrable potential perturbations of the billiard system within an ellipsoid 3063--3068 Xianguo Geng and Yongtang Wu New finite-dimensional integrable systems and explicit solutions of Hirota--Satsuma coupled Korteweg--de Vries equation . . . . . . . . . . . . . 3069--3080 Andreas Hamm Uncertain dynamical systems defined by pseudomeasures . . . . . . . . . . . . . 3081--3109 Irene M. Moroz The Kadomtsev--Petviashvili equation under rapid forcing . . . . . . . . . . 3110--3122 Hang-yu Ruan and Sen-yue Lou Higher-dimensional dromion structures: Jimbo--Miwa--Kadomtsev--Petviashvili system . . . . . . . . . . . . . . . . . 3123--3136 Guanxiang Wang and Shu Zhu On the dimension of the global attractor for the damped sine-Gordon equation . . 3137--3141 Göran Bergqvist A Lanczos potential in Kerr geometry . . 3142--3154 Ya-Jun Gao and Zai-Zhe Zhong and Yuan-Xing Gui Extended double Riemann--Hilbert problem and multiple representations of the infinite-dimensional symmetric group for the stationary axisymmetric vacuum field equations . . . . . . . . . . . . . . . 3155--3165 K. Kleidis and A. Kuiroukidis and D. B. Papadopoulos and H. Varvoglis Higher-dimensional models in gravitational theories of quartic Lagrangians . . . . . . . . . . . . . . 3166--3188 K. Kleidis and D. B. Papadopoulos Cosmological solutions in Kaluza--Klein theories of quadratic Lagrangians . . . 3189--3208 Subrata Bal and K. V. Shajesh and Debabrata Basu A unified treatment of the characters of ${\rm SU}(2)$ and ${\rm SU}(1,1)$ . . . 3209--3229 W.-S. Chung and Takashi Suzuki On representations of $U_q{\rm osp}(1 \vert 2)$ when $q$ is a root of unity 3230--3237 D. A. Dubin and M. A. Hennings and A. I. Solomon Integrable representations of the ultra-commutation relations . . . . . . 3238--3262 Y. Georgelin and J. Madore and T. Masson and J. Mourad On the noncommutative Riemannian geometry of ${\rm GL}_q(n)$ . . . . . . 3263--3277 Martin Grothaus and Dinkar C. Khandekar and José L. da Silva and Ludwig Streit The Feynman integral for time-dependent anharmonic oscillators . . . . . . . . . 3278--3299 A. Khorunzhy and G. J. Rodgers Eigenvalue distribution of large dilute random matrices . . . . . . . . . . . . 3300--3320 Yong Moon Park and Hyun Jae Yoo Dirichlet operators on loop spaces: essential self-adjointness and log-Sobolev inequality . . . . . . . . . 3321--3346 Fredrik Ståhl A local variational theory for the Schmidt metric . . . . . . . . . . . . . 3347--3357 Raimar Wulkenhaar Noncommutative geometry with graded differential Lie algebras . . . . . . . 3358--3390 P. L. Overfelt Comment on: ``On the evanescent fields and the causality of the focus wave modes'', [J. Math. Phys. \bf 36 (1995), no. 10, 5565--5587; MR 96g:78017] by A. M. Shaarawi, R. W. Ziolkowski and I. M. Besieris . . . . . . . . . . . . . . . . 3391--3395 Anonymous Announcement: Online Access to Journal of Mathematical Physics . . . . . . . . i--i
Stephen C. Anco Novel generalization of three-dimensional Yang--Mills theory . . 3399--3413 James N. Bellinger Symmetries of preon interactions modeled as a finite group . . . . . . . . . . . 3414--3426 Andrew J. Bordner Linear canonical transformations in quantum mechanics . . . . . . . . . . . 3427--3434 Roberto Casini Algebraic proof of a sum rule occurring in Stark broadening of hydrogen lines 3435--3445 Heng Fan and Bo-yu Hou and Kang-jie Shi Properties of eigenstates of the six-vertex model with twisted and open boundary conditions . . . . . . . . . . 3446--3456 Rudolf A. Frick A new Hamiltonian operator for a massive relativistic particle with spin one in a generalized Heisenberg/Schrödinger picture . . . . . . . . . . . . . . . . 3457--3465 P. M. Lavrov and S. D. Odintsov and A. A. Reshetnyak Effective action of composite fields for general gauge theories in Batalin, Lavrov, and Tyutin covariant formalism 3466--3477 Shunlong Luo ${\rm SU}(1,1)$ coherent states and associated Wick symbol calculus . . . . 3478--3488 Ali Mostafazadeh Quantum canonical transformations and exact solution of the Schrödinger equation . . . . . . . . . . . . . . . . 3489--3496 Paul E. Sacks Recovery of singularities from amplitude information . . . . . . . . . . . . . . 3497--3507 Stephen C. Anco and George Bluman Nonlocal symmetries and nonlocal conservation laws of Maxwell's equations 3508--3532 A. Elipe and V. Lanchares Phase flow of an axially symmetrical gyrostat with one constant rotor . . . . 3533--3544 A. Tip Nonconducting electromagnetic media with rotational invariance: transition operators and Green's functions . . . . 3545--3570 Luisa Arlotti and Miroslaw Lachowicz Euler and Navier--Stokes limits of the Uehling--Uhlenbeck quantum kinetic equations . . . . . . . . . . . . . . . 3571--3588 M. Chen On the moment methods and irreversible thermodynamics . . . . . . . . . . . . . 3589--3602 Jarmo Hietarinta and Frank Nijhoff The eight tetrahedron equations . . . . 3603--3615 Ay\cse Karasu Painlevé classification of coupled Korteweg--de Vries systems . . . . . . . 3616--3622 Robert Bartnik The structure of spherically symmetric ${\rm su}(n)$ Yang--Mills fields . . . . 3623--3638 Ashfaque H. Bokhari and Asghar Qadir and M. Shahan Ahmed and Mohammad Asghar Classification of spherically symmetric static space--times by their curvature collineations . . . . . . . . . . . . . 3639--3649 Edward Malec Self-gravitating nonlinear scalar fields 3650--3668 Takahiro Masuda and Hisao Suzuki Integral equations of fields on a rotating black hole . . . . . . . . . . 3669--3678 Jason W. Bates On toroidal Green's functions . . . . . 3679--3691 Peter A. Becker Normalization integrals of orthogonal Heun functions . . . . . . . . . . . . . 3692--3699 Carl M. Bender and Alexander Tovbis Continuum limit of lattice approximation schemes . . . . . . . . . . . . . . . . 3700--3717 B. Bruhn Factorization of complex canonical transformations . . . . . . . . . . . . 3718--3734 J. A. de Azcárraga and J. M. Izquierdo and A. M. Perelomov and J. C. Pérez-Bueno The $Z_2$-graded Schouten--Nijenhuis bracket and generalized super-Poisson structures . . . . . . . . . . . . . . . 3735--3749 V. K. Dobrev and P. Truini Polynomial realization of the $U_q({\rm sl}(3))$ Gel\cprimefand-(Weyl)-Zetlin basis . . . . . . . . . . . . . . . . . 3750--3767 Javier Fernandez and Marcela Zuccalli On Lie algebra extensions in a symplectic framework . . . . . . . . . . 3768--3771 E. Mann The perturbed Korteweg--de Vries equation considered anew . . . . . . . . 3772--3785 J. Negro and M. A. del Olmo and A. Rodríguez-Marco Nonrelativistic conformal groups . . . . 3786--3809 J. Negro and M. A. del Olmo and A. Rodríguez-Marco Nonrelativistic conformal groups. II. Further developments and physical applications . . . . . . . . . . . . . . 3810--3831 Oskar Pelc A new family of solvable self-dual Lie algebras . . . . . . . . . . . . . . . . 3832--3840 Charles Schwartz Nonlinear operators. II . . . . . . . . 3841--3862 R. B. Zhang Bott--Borel--Weil construction for quantum supergroup $U_q({\rm gl}(m \vert n))$ . . . . . . . . . . . . . . . . . . 3863--3884 Anonymous Announcement: Accepted Manuscript Status Inquiry System . . . . . . . . . . . . . i--i
H. Ahmedov and I. H. Duru A $q$-oscillator Green's function . . . 3889--3894 S. Danko Bosanac Relativistic classical theory of a free particle . . . . . . . . . . . . . . . . 3895--3907 J. W. Darewych and D. V. Shapoval and I. V. Simenog and A. G. Sitenko Nonperturbative formulation of relativistic two-particle states in the scalar Yukawa model . . . . . . . . . . 3908--3924 J. Derezi\'nski and C. Gérard Long-range scattering in the position representation . . . . . . . . . . . . . 3925--3942 H.-D. Doebner and H.-J. Mann Vector bundles over configuration spaces of nonidentical particles: topological potentials and internal degrees of freedom . . . . . . . . . . . . . . . . 3943--3952 L. Fatibene and M. Ferraris and M. Francaviglia Nöther formalism for conserved quantities in classical gauge field theories. II. The arbitrary bosonic matter case . . . 3953--3967 Hong-Chen Fu and Ryu Sasaki Negative binomial and multinomial states: probability distributions and coherent states . . . . . . . . . . . . 3968--3987 Kyoung Ho Han and H. J. Shin Grassmann manifold bosonization of QCD in two dimensions . . . . . . . . . . . 3988--3995 A. Le Yaouanc and L. Oliver and J.-C. Raynal The Hamiltonian $(p^2 + m^2)^{1/2} - \alpha / r$ near the critical value $\alpha_c = 2 / \pi$ . . . . . . . . . . 3997--4012 Anders J. Markvardsen and Neil F. Johnson A solvable model for excitonic complexes in one dimension . . . . . . . . . . . . 4013--4022 Abderemane Mohamed Asymptotic of the density of states for the Schrödinger operator with periodic electromagnetic potential . . . . . . . 4023--4051 Toru Nakamura Path space measures for Dirac and Schrödinger equations: nonstandard analytical approach . . . . . . . . . . 4052--4072 Antonio Scotti and Alexander Ushveridze Nonlinear quantization of integrable classical systems . . . . . . . . . . . 4073--4085 S. L. Lyakhovich and A. A. Sharapov and K. M. Shekhter Spinning particle in six dimensions . . 4086--4103 Roberto J. V. dos Santos Generalization of Shannon's theorem for Tsallis entropy . . . . . . . . . . . . 4104--4107 H. Belich and R. Paunov $A^{(1)}_n$ Toda solitons and the dressing symmetry . . . . . . . . . . . 4108--4127 Ling-Lie Chau and Jiin-Chang Shaw and Ming-Hsien Tu Solving the constrained KP hierarchy by gauge transformations . . . . . . . . . 4128--4137 E. V. Doktorov Spectral transform and solitons for the three-wave coupling model with nontrivial boundary conditions . . . . . 4138--4150 Attilio Maccari Universal and integrable nonlinear evolution systems of equations in $2 + 1$ dimensions . . . . . . . . . . . . . 4151--4164 Manuel F. Rañada Superintegrable $n=2$ systems, quadratic constants of motion, and potentials of Drach . . . . . . . . . . . . . . . . . 4165--4178 Yuri B. Suris Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices . . . . . . . . . . . . . . . . 4179--4201 A. Das and N. Tariq and D. Aruliah and T. Biech Spherically symmetric collapse of an anisotropic fluid body into an exotic black hole . . . . . . . . . . . . . . . 4202--4227 F. M. Paiva and M. J. Rebouças and A. F. F. Teixeira Limits of space--times in five dimensions and their relation to the Segr\`e types . . . . . . . . . . . . . 4228--4236 István Rácz On Einstein's equations for space--times admitting a non-null Killing field . . . 4237--4254 Jan Cie\'sli\'nski A generalized formula for integrable classes of surfaces in Lie algebras . . 4255--4272 Per Dahlqvist On the effect of pruning on the singularity structure of zeta functions 4273--4282 J. Gratus A natural basis of states for the noncommutative sphere and its Moyal bracket . . . . . . . . . . . . . . . . 4283--4300 S. S. Horuzhy and A. V. Voronin Representations of the BRST algebra and unsolvable algebraic problems . . . . . 4301--4322 Hans Plesner Jakobsen Tensoring with small quantized representations . . . . . . . . . . . . 4323--4335 M. Kachkachi and S. Kouadik Proof of Polyakov conjecture on supercomplex plane . . . . . . . . . . . 4336--4342 Joseph B. Keller and Hans F. Weinberger Boundary and initial-boundary value problems for separable backward-forward parabolic problems . . . . . . . . . . . 4343--4353 Brett McInnes Disconnected forms of the standard group 4354--4362 D. J. Rowe and J. Repka An algebraic algorithm for calculating Clebsch--Gordan coefficients; application to ${\rm SU}(2)$ and ${\rm SU}(3)$ . . . . . . . . . . . . . . . . 4363--4388 David S. Simon Semiclassical determinants of Schrödinger operators on bundles with curvature of low rank . . . . . . . . . . . . . . . . 4389--4397 A. W. Sáenz Erratum: ``Long-time approximation to the evolution of resonant and nonresonant anharmonic oscillators in quantum mechanics'', [J. Math. Phys. \bf 37 (1996), no. 5, 2182--2205; 1 385 824] 4398--4398 Anonymous Announcement: Accepted Manuscript Status Inquiry System . . . . . . . . . . . . . i--i
K. Arthur and G. M. O'Brien and D. H. Tchrakian Towards a Coulomb gas of instantons of the ${\rm SO}(4) \times {\rm U}(1)$ Higgs model on ${\bf R}_4$ . . . . . . . 4403--4421 Kazuyuki Fujii and Kunio Funahashi Extension of the Barut--Girardello coherent state and path integral . . . . 4422--4434 R. W. Gebert and H. Nicolai An affine string vertex operator construction at an arbitrary level . . . 4435--4450 G. Goswami and P. Bandyopadhyay Fermion doubling on a lattice and topological aspects of chiral anomaly 4451--4461 A. B. Hammou and M. Lagraa The BRST operator of quantum symmetries: the quantum analogs of Donaldson invariants . . . . . . . . . . . . . . . 4462--4473 P. Podle\'s The Dirac operator and gamma matrices for quantum Minkowski spaces . . . . . . 4474--4491 Boris F. Samsonov Supersymmetry and supercoherent states of a nonrelativistic free particle . . . 4492--4503 I. M. Benn and Philip Charlton and Jonathan Kress Debye potentials for Maxwell and Dirac fields from a generalization of the Killing--Yano equation . . . . . . . . . 4504--4527 Karen E. Clark A continued fraction representation for the effective conductivity of a two-dimensional polycrystal . . . . . . 4528--4541 Marián Fecko On $3 + 1$ decompositions with respect to an observer field via differential forms . . . . . . . . . . . . . . . . . 4542--4560 Maria Dina Vivarelli On a first integral of the Kepler problem . . . . . . . . . . . . . . . . 4561--4569 R. F. Streater Dynamics of Brownian particles in a potential . . . . . . . . . . . . . . . 4570--4575 G. Auberson A class of homogeneous nonlinear evolution equations with stable, localized solutions in any dimension . . 4576--4593 \.Inanç Birol and Avadis Hacinliyan Signs and approximate magnitudes of Lyapunov exponents in continuous time dynamical systems . . . . . . . . . . . 4594--4605 Paolo Casati and Gregorio Falqui and Franco Magri and Marco Pedroni A note on fractional KdV hierarchies . . 4606--4628 E. H. de Groot and C. Dalitz Exact solution of a boundary value problem in semiconductor kinetic theory 4629--4643 A. Yu. Orlov and P. Winternitz Algebra of pseudodifferential operators and symmetries of equations in the Kadomtsev--Petviashvili hierarchy . . . 4644--4674 K. Porsezian Painlevé analysis of new higher-dimensional soliton equation . . 4675--4679 Orlando Ragnisco and Yuri B. Suris Integrable discretizations of the spin Ruijsenaars--Schneider models . . . . . 4680--4691 H. Steudel and R. Meinel and G. Neugebauer Vandermonde-like determinants and $N$-fold Darboux/Bäcklund transformations 4692--4695 B. K. Darian and H. P. Künzle Cosmological Einstein--Yang--Mills equations . . . . . . . . . . . . . . . 4696--4713 Mirta Iriondo and Carlos N. Kozameh and Alejandra Rojas Null surfaces and the Bach equations . . 4714--4729 Donald Marolf and José Mourão and Thomas Thiemann The status of diffeomorphism superselection in Euclidean $2 + 1$ gravity . . . . . . . . . . . . . . . . 4730--4740 Marc Mars and Roustam M. Zalaletdinov Space--time averages in macroscopic gravity and volume-preserving coordinates . . . . . . . . . . . . . . 4741--4757 S. L. Adler and G. G. Emch A rejoinder on quaternionic projective representations . . . . . . . . . . . . 4758--4762 L. Bertini and N. Cancrini Reduction formula for moments of stochastic integrals . . . . . . . . . . 4763--4770 Alan Chodos and András Kaiser Zeta function regularization in de Sitter space: the Minkowski limit . . . 4771--4782 M. D. Gould and N. I. Stoilova Casimir invariants and characteristic identities for ${\rm gl}(\infty)$ . . . 4783--4793 V. V. Gudkov A family of exact travelling wave solutions to nonlinear evolution and wave equations . . . . . . . . . . . . . 4794--4803 Ay\cse Hümeyra Bilge and Tekin Dereli and \c Sahin Koçak The geometry of self-dual two-forms . . 4804--4814 Hasan Karabulut and Edwin L. Sibert, III Distributed Gaussian polynomials and associated Gaussian quadratures . . . . 4815--4831 B. Kónya and G. Lévai and Z. Papp Green's matrix from Jacobi-matrix Hamiltonian . . . . . . . . . . . . . . 4832--4844 S. Majid Fermionic $q$-Fock space and braided geometry . . . . . . . . . . . . . . . . 4845--4853 J. S. Prakash and H. S. Sharatchandra A new boson calculus for ${\rm SU}(3)$ 4854--4862 L. Rebollo-Neira and J. Fernandez-Rubio and A. Plastino Frames: a maximum entropy statistical estimate of the inverse problem . . . . 4863--4871 Erhard Seiler and Karim Yildirim New universality classes in one-dimensional ${\rm O}(N)$-invariant spin-models with an $n$-parametric action . . . . . . . . . . . . . . . . . 4872--4881 M. Sassoli de Bianchi Comment on: ``Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations'', [J. Math. Phys. \bf 37 (1996), no. 12, 5897--5915; MR 97j:34111] by T. Aktosun, M. Klaus and C. van der Mee . . . . . . . . . . . 4882--4883 Anonymous Announcement: Submitting Electronic Graphics Files . . . . . . . . . . . . . v--vi
T. Allen and C. Anastassiou and W. H. Klink The quartic anharmonic oscillator and its associated nonconstant magnetic field . . . . . . . . . . . . . . . . . 4887--4899 K. Chadan and R. Kobayashi A sufficient condition for the existence of bound states in a potential . . . . . 4900--4908 Richard L. Hall and Nasser Saad Bounds on Schrödinger eigenvalues for polynomial potentials in $N$ dimensions 4909--4913 J. J. Hamilton Hypercomplex numbers and the description of spin states . . . . . . . . . . . . . 4914--4928 Bruno Iochum and Daniel Kastler and Thomas Schücker On the universal Chamseddine--Connes action. I. Details of the action computation . . . . . . . . . . . . . . 4929--4950 H. Jallouli and H. Sazdjian Gauge transformations in relativistic two-particle constraint theory . . . . . 4951--4970 Tomá\vs Kopf and A. E. Santana and F. C. Khanna Thermal field dynamics and bialgebras 4971--4979 Seichi Naito Generating functionals of physical vertex operators in superstring . . . . 4980--5009 A. Odzijewicz and M. \'Swi\ketochowski Coherent states map for MIC-Kepler system . . . . . . . . . . . . . . . . . 5010--5030 Jorge Sánchez-Ruiz Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates . . 5031--5043 Launey J. Thomas, III and Eyvind H. Wichmann On the causal structure of Minkowski spacetime . . . . . . . . . . . . . . . 5044--5086 Miloslav Znojil $r^D$ oscillators with arbitrary $D>0$ and perturbation expansions with Sturmians . . . . . . . . . . . . . . . 5087--5097 Olga Krupková Mechanical systems with nonholonomic constraints . . . . . . . . . . . . . . 5098--5126 Anatol M. Brodsky Casimir free energy of a spherical cavity in a dielectric medium . . . . . 5127--5142 E. Buffet and J. V. Pulé A model of continuous polymers with random charges . . . . . . . . . . . . . 5143--5152 M. Chen On the second law of thermodynamics for a dissipative system . . . . . . . . . . 5153--5166 Partha Guha Adler--Kostant--Symes construction, bi-Hamiltonian manifolds, and KdV equations . . . . . . . . . . . . . . . 5167--5182 Kazuhiro Kiso and Eiji Kaneda and Ei-ichiro Kawai Hierarchies of evolution equations associated with certain symmetric spaces 5183--5189 Ignace Loris and Ralph Willox On solutions of constrained Kadomtsev--Petviashvili equations: Grammians . . . . . . . . . . . . . . . 5190--5197 Y. Matsuno and D. J. Kaup Initial value problem of the linearized Benjamin--Ono equation and its applications . . . . . . . . . . . . . . 5198--5224 Cangtao Zhou and C. H. Lai and M. Y. Yu Bifurcation behavior of the generalized Lorenz equations at large rotation numbers . . . . . . . . . . . . . . . . 5225--5239 Selçuk \cS. Bayìn and Mustafa Özcan Casimir energy of the massless conformal scalar field on S-2 by the point-splitting method . . . . . . . . . 5240--5255 A. A. Coley and J. Ibáñez and R. J. van den Hoogen Homogeneous scalar field cosmologies with an exponential potential . . . . . 5256--5271 Heinz-Otto Kreiss and Gabriel B. Nagy and Omar E. Ortiz and Oscar A. Reula Global existence and exponential decay for hyperbolic dissipative relativistic fluid theories . . . . . . . . . . . . . 5272--5279 Mattias Marklund and Zoltán Perjés Stationary rotating matter in general relativity . . . . . . . . . . . . . . . 5280--5292 Ramón Mendoza and Pedro Gómez and Fernando Moraes Fluctuating metrics in one-dimensional manifolds . . . . . . . . . . . . . . . 5293--5300 Oleg Yu. Orlyansky Singularity-free static fluid spheres in general relativity . . . . . . . . . . . 5301--5304 B. Saha and G. N. Shikin Nonlinear spinor field in Bianchi type-I universe filled with perfect fluid: exact self-consistent solutions . . . . 5305--5318 Jorge Alfaro and Ricardo Medina and Luis F. Urrutia Orthogonality relations and supercharacter formulas of ${\rm U}(m \vert n)$ representations . . . . . . . 5319--5349 Goong Chen and Stephen A. Fulling and Jianxin Zhou Asymptotic equipartition of energy by nodal points of an eigenfunction . . . . 5350--5360 Alicia Dickenstein and Mirta Susana Iriondo and Teresita Alejandra Rojas Integrating singular functions on the sphere . . . . . . . . . . . . . . . . . 5361--5370 Reinhard Häring-Oldenburg Tensor categories of Coxeter type B and QFT on the half plane . . . . . . . . . 5371--5382 Andrew D. Jacobs and J. F. Cornwell Twisting $2$-cocycles for the construction of new non-standard quantum groups . . . . . . . . . . . . . . . . . 5383--5401 S. Janeczko Equivalence of isotropic submanifolds and symmetry . . . . . . . . . . . . . . 5402--5415 E. G. Kalnins and W. Miller, Jr. and G. S. Pogosyan Superintegrability on the two-dimensional hyperboloid . . . . . . 5416--5433 O. V. Radko and A. A. Vladimirov On the algebraic structure of differential calculus on quantum groups 5434--5446 Y\Huji Ohta Erratum: ``Prepotentials of $N = 2 {\rm SU}(2)$ Yang--Mills theories coupled with massive matter multiplets'', [J. Math. Phys. \bf 38 (1997), no. 2, 682--696; 1 434 203] . . . . . . . . . . 5447--5447 Anonymous Announcement: Submitting Electronic Graphics files . . . . . . . . . . . . . ix--x
Abhay Ashtekar and Jerzy Lewandowski and Donald Marolf and Jose Mourao and Thomas Thiemann ${\rm SU}(N)$ Quantum Yang--Mills theory in two dimensions: A complete solution 5453--5483 N. Bessis and G. Bessis Open perturbation and the Riccati equation: Algebraic determination of the quartic anharmonic oscillator energies and eigenfunctions . . . . . . . . . . . 5483--5492 Paul Bracken and Ji\vri \vCí\vzek Reconstruction of secular polynomials for Hubbard model from energy perturbation series for weak and strong coupling cases . . . . . . . . . . . . . 5493--5504 Ion I. Cot\uaescu and Gheorghe Dr\uag\uanescu The operator algebra of the quantum relativistic oscillator . . . . . . . . 5505--5514 T. Dereli and A. Vercin $W_\infty$-covariance of the Weyl--Wigner--Groenewold--Moyal quantization . . . . . . . . . . . . . . 5515--5530 W. Drechsler Geometro-stochastically quantized fields with internal spin variables . . . . . . 5531--5558 Jose M. Figueroa-O'Farrill $N = 2$ structures in string theories 5559--5575 Conor J. Houghton and Paul M. Sutcliffe ${\rm SU}(N)$ monopoles and Platonic symmetry . . . . . . . . . . . . . . . . 5576--5589 Marek Kanter Can a quantum process be oblivious to observation? . . . . . . . . . . . . . . 5590--5604 Stawomir Klimek and Andrzej Lesniewski Quantized Kronecker flows and almost periodic quantum field theory . . . . . 5605--5625 V. I. Pupyshev and A. V. Scherbinin and N. F. Stepanov The Kirkwood--Buckingham variational method and the boundary value problems for the molecular Schrödinger equation 5626--5633 W. Y. Ruan and C. G. Bao Transformation bracket for 2D hyperspherical harmonics and its applications to few-anyon problems . . . 5634--5642 Oliver Rudolph and J. D. Maitland Wright On tracial operator representations of quantum decoherence functionals . . . . 5643--5652 Joe Schaefer Covariant path integrals on hyperbolic surfaces . . . . . . . . . . . . . . . . 5653--5662 Jose A. Zapata A combinatorial approach to diffeomorphism invariant quantum gauge theories . . . . . . . . . . . . . . . . 5663--5681 G. E. Arutyunov and S. A. Frolov and P. B. Medvedev Elliptic Ruijsenaars--Schneider model from the cotangent bundle over the two-dimensional current group . . . . . 5682--5689 R. Rivera and D. Villarroel An exactly solvable two-body problem with retarded interactions and radiation reaction in classical electrodynamics 5690--5706 Shawpawn Kumar Das and Mylavarapu Sita Janaki and Brahmananda Dasgupta Divergences in the solutions of the plasma screening equation . . . . . . . 5707--5710 F. Calogero A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic . . . . . . . . 5711--5719 Artemio Gonzalez-Lopez and Rafael Hernandez Heredero and Gloria Mari Beffa Invariant differential equations and the Adler--Gel'fand--Dikii bracket . . . . . 5720--5738 Krzysztof Marciniak Coupled Korteweg--de Vries hierarchy with sources and its Newton decomposition . . . . . . . . . . . . . 5739--5755 Jiin-Chang Shaw and Ming-Hsien Tu Miura and auto-Bácklund transformations for the cKP and cmKP hierarchies . . . . 5756--5773 Robert Bartnik Shear-free null quasi-spherical space--times . . . . . . . . . . . . . . 5774--5791 S. Chaudhuri and K. C. Das Axially symmetric metrics from Laplace's seed by inverse scattering method . . . 5792--5806 Gerard Clement Flat wormholes from cosmic strings . . . 5807--5819 Irene P. Denisova and Mahavir Dalal Development of the method of potentials for the problems of gravitation-electromagnetic conversion 5820--5832 Yoshitake Hashimoto and Yukinori Yasui and Sayuri Miyagi and Takayoshi Ootsuka Applications of the Ashtekar gravity to four-dimensional hyperkahler geometry and Yang--Mills instantons . . . . . . . 5833--5839 Michael Heller and Wie\vslaw Sasin and Dominique Lambert Groupoid approach to noncommutative quantization of gravity . . . . . . . . 5840--5853 Elias Zafiris Incorporation of space--time symmetries in Einstein's field equations . . . . . 5854--5877 Radha Balakrishnan and Raphael Blumenfeld Transformation of general curve evolution to a modified Belavin--Polyakov equation . . . . . . . 5878--5888 Sunggoo Cho and Kwang Sung Park Linear connections on graphs . . . . . . 5889--5904 P. Di Francesco ${\rm SU}(N)$ meander determinants . . . 5905--5943 W. I. Fushchych and A. G. Nikitin Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation 5944--5959 Ya-Jun Gao and Yuan-Xing Gui Quantized braided linear algebras relating to quantized braided groups . . 5960--5967 Francisco Guil and Manuel Manas The Darboux system: Finite-rank constraints and Darboux transformations 5968--5975 H. R. Karadayi and M. Gungormez An explicit construction of Casimir operators and eigenvalues. I . . . . . . 5976--5990 H. R. Karadayi and M. Gungormez An explicit construction of Casimir operators and eigenvalues. Il . . . . . 5991--6007 Patrick L. Nash On the construction of a Dirac spinor that generates a specified tetrad . . . 6008--6017 C. Quesne Colored quantum universal enveloping algebras . . . . . . . . . . . . . . . . 6018--6039 Roberto Casini Erratum: ``Algebraic proof of a sum rule occurring in Stark broadening of hydrogen lines'' (J. Math. Phys. \bf 38, 3435-3445 (1997)) . . . . . . . . . . . 6040--6040
Boucif Abdesselam The twisted Heisenberg algebra ${\cal U}_{h, w}({\cal H}(4))$ . . . . . . . . 6045--6060 Bruno Blaive and Michel Cadilhac Upper limit of the discrete hydrogen-like wave functions: Expansion in the inverse principal quantum number $n^{-1}$ . . . . . . . . . . . . . . . . 6061--6071 A. Bohm and Mark Loewe and S. Maxson and P. Patuleanu and C. Puntmann and M. Gadella Gamow--Jordan vectors and non-reducible density operators from higher-order $S$-matrix poles . . . . . . . . . . . . 6072--6100 G. Cassinelli and E. De Vito and A. Levrero Integrability of the quantum adiabatic evolution and geometric phases . . . . . 6101--6118 G. Cheng and T. K. Kuo Condition on the symmetry-breaking solution of the Schwinger--Dyson equation . . . . . . . . . . . . . . . . 6119--6125 Eric Delabaere and Herve Dillinger and Frederic Pham Exact semiclassical expansions for one-dimensional quantum oscillators . . 6126--6184 Manuel de Leon and Juan C. Marrero and Edith Padron On the geometric quantization of Jacobi manifolds . . . . . . . . . . . . . . . 6185--6213 Wifredo Garcia Fuertes and Juan Mateos Guilarte Self-dual solitons in $N = 2$ supersymmetric Chern--Simons gauge theory . . . . . . . . . . . . . . . . . 6214--6229 Andrew C. Millard Quantum mechanics in classical dynamics 6230--6248 Yun Soo Myung Two-dimensional boson and $W$-symmetry in the quantum Hall effect . . . . . . . 6249--6264 V. V. Nesterenko and I. G. Pirozhenko Justification of the zeta function renormalization in rigid string model 6265--6280 Kazuto Oshima de Rham cohomology of ${\rm SO}(n)$ by supersymmetric quantum mechanics . . . . 6281--6286 Yong Moon Park and Hyun Hye Shin Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras . . . . . . . . . . . . . . . . 6287--6303 J. V. Pule and M. Scrowston Infinite degeneracy for a Landau Hamiltonian with Poisson impurities . . 6304--6314 Yaping Yang and Weiguo Feng and Xiang Wu The $q$-phase-difference operator and two-mode $q$-coherent states . . . . . . 6315--6327 George N. Borzdov Frequency domain wave-splitting techniques for plane stratified bianisotropic media . . . . . . . . . . 6328--6366 Fabio Giannoni and Paolo Piccione and Jose A. Verderesi An approach to the relativistic brachistochrone problem by sub-Riemannian geometry . . . . . . . . 6367--6381 V. G. Dubrovsky The dressing method and the solutions with constant asymptotic values at infinity of DS-II equation . . . . . . . 6382--6400 Sen-Yue Lou and Xing-Biao Hu Infinitely many Lax pairs and symmetry constraints of the KP equation . . . . . 6401--6427 A. G. Meshkov Integrability and integrodifferential substitutions . . . . . . . . . . . . . 6428--6443 Roman G. Smirnov Magri--Morosi--Gel'fand-Dorfman's bi-Hamiltonian constructions in the action-angle variables . . . . . . . . . 6444--6454 R. Willox and T. Tokihiro and J. Satsuma Darboux and binary Darboux transformations for the nonautonomous discrete KP equation . . . . . . . . . . 6455--6469 K. A. Dunn and Tina A. Harriott and J. G. Williams Energy conditions for a spherically symmetric kink space--time . . . . . . . 6470--6474 Shoichi Ichinose and Noriaki Ikeda Graphical classification of global ${\rm SO}(n)$ invariants and independent general invariants . . . . . . . . . . . 6475--6521 J. A. Smoller and A. G. Wasserman Reissner--Nordstrom-like solutions of the ${\rm SU}(2)$ Einstein--Yang/Mills equations . . . . . . . . . . . . . . . 6522--6559 Masayuki Tanimoto and Tatsuhiko Koike and Akio Hosoya Hamiltonian structures for compact homogeneous universes . . . . . . . . . 6560--6577 Sergio Benenti Intrinsic characterization of the variable separation in the Hamilton--Jacobi equation . . . . . . . 6578--6602 F. D. Colavecchia and G. Gasaneo and C. R. Garibotti Hypergeometric integrals arising in atomic collisions physics . . . . . . . 6603--6612 Masao Jinzenji On quantum cohomology rings for hypersurfaces in $CP^{N-1}$ . . . . . . 6613--6638 V. K. B. Kota Transformation brackets between ${\rm U}(N) \supset {\rm SO}(N) \supset {\rm SO}(N_a) \oplus {\rm SO}(N_b)$ and ${\rm U}(N) \supset {\rm U}(N_a) \oplus {\rm U}(N_b) \supset {\rm SO}(N_a) \oplus {\rm SO}(N_b)$ . . . . . . . . . . . . . 6639--6647 D. Levi and R. Yamilov Conditions for the existence of higher symmetries of evolutionary equations on the lattice . . . . . . . . . . . . . . 6648--6674 A. R. Plastino and H. G. Miller and A. Plastino and G. D. Yen The role of information measures in the determination of the maximum entropy-minimum norm solution of the generalized inverse problem . . . . . . 6675--6682 Sebastian Sachse and Ralf Weixler The quantized universal enveloping algebras ${\rm Uq}({\rm iso}(N))$, ${\rm Uq}(e(3,1))$ and ${\rm Uq}(e(N))$ and the representation theory of ${\rm Uq}(e(3))$ . . . . . . . . . . . . . . . 6683--6691 Anonymous Summary of the Physics and Astronomy Classification Scheme --- 1996--1997 . . 6692--6692 Anonymous Summary of PACS Headings in Current Index . . . . . . . . . . . . . . . . . 6693--6697 Anonymous Subject Index to Volume 38 . . . . . . . 6698--6729 Anonymous Author Index to Volume 38 . . . . . . . 6730--6751
Richard Beals and David Sattinger and Eric Williams A Dirac sea and thermodynamic equilibrium for the quantized three-wave interaction . . . . . . . . . . . . . . 1--29 M. C. Berg\`ere Proof of Serban's conjecture . . . . . . 30--46 L. D\kabrowski and P. \vS\vtoví\vcek Aharonov--Bohm effect with $d$-type interaction . . . . . . . . . . . . . . 47--62 Rainer Hempel and Serge Z. Levendorski\uì On eigenvalues in gaps for perturbed magnetic Schrödinger operators . . . . . 63--78 T. A. Ivanova On infinite-dimensional algebras of symmetries of the self-dual Yang--Mills equations . . . . . . . . . . . . . . . 79--87 Christopher King and Andrezj Le\'sniewski Quantum sources and a quantum coding theorem . . . . . . . . . . . . . . . . 88--101 Jyh-Hao Lee and Oktay K. Pashaev Moving frames hierarchy and BF theory 102--123 Peter Long and Horace W. Crater Two-body Dirac equations for general covariant interactions and their coupled Schrödinger-like forms . . . . . . . . . 124--160 M. Maamache Unitary transformation approach to the exact solution for a class of time-dependent nonlinear Hamiltonian systems . . . . . . . . . . . . . . . . 161--169 Mihaela Manoliu Abelian Chern--Simons theory. I. A topological quantum field theory . . . . 170--206 Mihaela Manoliu Abelian Chern--Simons theory. II. A functional integral approach . . . . . . 207--217 Itamar Pitowsky Infinite and finite Gleason's theorems and the logic of indeterminacy . . . . . 218--228 Reese T. Prosser On the energy spectrum of the hydrogen atom in a photon field I . . . . . . . . 229--277 R. W. Robinett Periodic orbit theory analysis of a continuous family of quasi-circular billiards . . . . . . . . . . . . . . . 278--298 James T. Wheeler New conformal gauging and the electromagnetic theory of Weyl . . . . . 299--328 M. Cnen and H. C. Tseng On the second law of thermodynamics and contact geometry . . . . . . . . . . . . 329--344 J. Fort and J. E. Llebot Information-theoretical derivation of an extended thermodynamical description of radiative systems . . . . . . . . . . . 345--354 Vladimir Dragovi\'c and Milena Radnovi\'c Conditions of Cayley's type for ellipsoidal billiard . . . . . . . . . . 355--362 You-De Wang Heisenberg chain systems from compact manifolds into ${\rm S2}$ . . . . . . . 363--371 L. C. Garcia de Andrade Spacetime defects: Domain walls and torsion . . . . . . . . . . . . . . . . 372--379 Andrzej Krasi\'nski Rotating dust solutions of Einstein's equations with $3$-dimensional symmetry groups. I. Two Killing fields spanned on $ua$ and $wa$ . . . . . . . . . . . . . 380--400 Andrzej Krasi\'nski Rotating dust solutions of Einstein's equations with $3$-dimensional symmetry groups. II. One Killing field spanned on $ua$ and $wa$ . . . . . . . . . . . . . 401--422 J. Madore and J. Mourad Quantum space--time and classical gravity . . . . . . . . . . . . . . . . 423--442 G. Oliveira-Neto Conditions for regular space --- Times with compact spatial sections . . . . . 443--453 G. V. Shishkin and W. H. Abdel Salam The Dirac particle in the presence of the tensor wave on the background of gravitation . . . . . . . . . . . . . . 454--466 Jin-Quan Chen and Peng-Dong Fan Algebraic solutions for point groups: The tetrahedral group for the group chain ${\rm T} \supset {\rm C3}$ . . . . 467--488 Ömer F. Dayi $q$-deformed star products and Moyal brackets . . . . . . . . . . . . . . . . 489--496 A. Degasperis and S. De Lillo and F. Tinebra Solutions of $1 + 1$ relativistic field models . . . . . . . . . . . . . . . . . 497--531 H. Falomir and R. E. Gamboa Saraví and E. M. Santangelo Dirac operator on a disk with global boundary conditions . . . . . . . . . . 532--544 Andrzej Z. Górski and Jacek Szmigielski On pairs of difference operators satisfying $(D, X)=Id$ . . . . . . . . . 545--568 Sarah John Lattice functions, wavelet aliasing, and ${\rm SO}(3)$ mappings of orthonormal filters . . . . . . . . . . . . . . . . 569--593 Jean-Louis Milhorat Spectrum of the Dirac operator on ${\rm Gr}_2({\rm C}^{m + 2})$ . . . . . . . . 594--609 Pierre Minnaert and Marek Mozrzymas Representation properties, Racah sum rule, and Biedenharn--Elliott identity for \rm Uq(osp($1/2$)) . . . . . . . . . 610--624 Z. Ran Unobstructedness of Calabi--Yau orbi-Kleinfolds . . . . . . . . . . . . 625--629 Hong-zhou Sun and Dong Ruan Algebraic expressions for ${\rm O(N)} \subset {\rm O(N-1)}$ reduction factors for the three-rowed irreducible representations . . . . . . . . . . . . 630--649 A. V. Tsiganov Automorphisms of ${\rm sl}(2)$ and dynamical $r$-matrices . . . . . . . . . 650--664 Mark A. Walton Demazure characters and WZW fusion rules 665--681
Martin Bordemann and Jens Hoppe Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifolds . . . . . . . . 683--694 O. Chalykh and M. Feigin and A. Veselov New integrable generalizations of Calogero--Moser quantum problem . . . . 695--703 Tulsi Dass and Yogesh Joglekar Augmented temporal logic formalism for histories-based generalized quantum mechanics . . . . . . . . . . . . . . . 704--729 Michel Dubois-Violette and John Madore and Richard Kerner Shadow of noncommutativity . . . . . . . 730--738 Wojciech Florek and Stanis\law Wa\lcerz The role of a form of vector potential --- Normalization of the antisymmetric gauge . . . . . . . . . . . . . . . . . 739--748 R. J. Henderson and S. G. Rajeev Renormalized contact potential in two dimensions . . . . . . . . . . . . . . . 749--759 B. Helffer Splitting in large dimension and infrared estimates. II. Moment inequalities . . . . . . . . . . . . . . 760--776 Reinhard Honegger and Alfred Rieckers Unitary implementations of one-parameter squeezing groups . . . . . . . . . . . . 777--801 Frank Leitenberger Quantum theory of the real and the complexified projective line . . . . . . 802--817 W\ladys\law Marcinek Particles in singular magnetic field . . 818--830 Jouko Mickelsson Vacuum polarization and the geometric phase: Gauge invariance . . . . . . . . 831--837 S. Seshadri and V. Balakrishnan and S. Lakshmibala Ladder operators for isospectral oscillators . . . . . . . . . . . . . . 838--847 S. P. Sorella and L. C. Q. Vilar and O. S. Ventura and C. A. G. Sasaki Algebraic characterization of vector supersymmetry in topological field theories . . . . . . . . . . . . . . . . 848--866 Yihren Wu Quantization of a particle in a background Yang--Mills field . . . . . . 867--875 Manuel de León and Eugenio Merino and José A. Oubiña and Paulo R. Rodrigues and Modesto R. Salgado Hamiltonian systems on $k$-cosymplectic manifolds . . . . . . . . . . . . . . . 876--893 J. A. DeSanto and P. A. Martin On the derivation of boundary integral equations for scattering by an infinite two-dimensional rough surface . . . . . 894--912 V. Karimipour Integrable structure of the new Calogero models . . . . . . . . . . . . . . . . . 913--920 Patrice Joussot and Valentin A. Zagrebnov Quantum critical fluctuations in a ferroelectric model: Quasi-average approach . . . . . . . . . . . . . . . . 921--930 M. M. K\losek and P. S. Hagan Colored noise and a characteristic level crossing problem . . . . . . . . . . . . 931--953 Vicenç Méndez Variational principles for nonlinear dynamical systems . . . . . . . . . . . 954--966 Boris F. Samsonov Distortion of a phase space under the Darboux transformation . . . . . . . . . 967--975 N. V. Ustinov The reduced self-dual Yang--Mills equation, binary and infinitesimal Darboux transformations . . . . . . . . 976--985 Zixiang Zhou Nonlinear constraints and soliton solutions of $1 + 2$-dimensional three-wave equation . . . . . . . . . . 986--997 S. Mignemi and H.-J. Schmidt Classification of multidimensional inflationary models . . . . . . . . . . 998--1010 A. O. Petters and F. J. Wicklin Fixed points due to gravitational lenses 1011--1023 Carlos F. Sopuerta Stationary generalized Kerr--Schild spacetimes . . . . . . . . . . . . . . . 1024--1039 Thomas P. Branson and Peter B. Gilkey and Dmitri V. Vassilevich Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary . . . . . . . . 1040--1049 Uwe Brauer Breakdown of smooth solutions of the three-dimensional Euler--Poisson system 1050--1074 Andrei A. Bytsenko and Floyd L. Williams Zeta functions on a product of Einstein manifolds, and the multiplicative anomaly . . . . . . . . . . . . . . . . 1075--1086 Hubert de Guise and David J. Rowe Clebsch--Gordan coefficients in the asymptotic limit . . . . . . . . . . . . 1087--1106 Michael Forger Invariant polynomials and Molien functions . . . . . . . . . . . . . . . 1107--1141 Jaros\law Gawrylczyk Generalization of the algebra of the matrix pseudodifferential operators . . 1142--1152 Reinhard Honegger Enlarged test-function spaces for the global free folia dynamics on the CCR-algebra . . . . . . . . . . . . . . 1153--1169 Vladimir F. Kovalev and Veniamin V. Pustovalov and Dmitrii V. Shirkov Group analysis and renormgroup symmetries . . . . . . . . . . . . . . . 1170--1188 Victor Patrangenaru Three-dimensional metrics with a spherical homogeneous model . . . . . . 1189--1198 C. Quesne Duals of colored quantum universal enveloping algebras and colored universal I-matrices . . . . . . . . . . 1199--1222 Matthias Reinsch Yang--Mills field equations for the Coriolis tensor in the $n$-body problem 1223--1235 T. Thiemann The inverse loop transform . . . . . . . 1236--1248 E. V. Doktorov Erratum: ``Spectral transform and solitons for the three-wave coupling model with nontrivial boundary conditions'', (J. Math. Phys. \bf 38, 4138--4150 (1997)) . . . . . . . . . . . 1249--1249
John C. Baez and Kirill V. Krasnov Quantization of diffeomorphism-invariant theories with fermions . . . . . . . . . 1251--1271 Andrew Bernoff and Peter Sternberg Onset of superconductivity in decreasing fields for general domains . . . . . . . 1272--1284 Lars Brink and Alexander Turbiner and Niclas Wyllard Hidden algebras of the (super) Calogero and Sutherland models . . . . . . . . . 1285--1315 Alberto S. Cattaneo and Paolo Cotta-Ramusino and Maurizio Rinaldi BRST symmetries for the tangent gauge group . . . . . . . . . . . . . . . . . 1316--1339 A. Dranov and J. Kellendonk and R. Seiler Discrete time adiabatic theorems for quantum mechanical systems . . . . . . . 1340--1349 G. F. Filippov and A. F. Lisetskyi and J. P. Draayer Microscopic ${\rm SU}_\pi \otimes {\rm SU}_\nu(3)$ interpretation of a two triaxial rotor model . . . . . . . . . . 1350--1365 Gautam Ghosh Generalized annihilation operator coherent states . . . . . . . . . . . . 1366--1372 A. S. Holevo Radon--Nikodym derivatives of quantum instruments . . . . . . . . . . . . . . 1373--1387 Andrew Khrennikov p-adic stochastic hidden variable model 1388--1401 Seichi Naito Physical vertex operators in the Ramond sector . . . . . . . . . . . . . . . . . 1402--1440 Karl-Georg Schlesinger On topology and quantum mechanics . . . 1441--1450 Barton L. Willis Similarity and intertwining of Dirac operators . . . . . . . . . . . . . . . 1451--1457 D. Eidus Radiation principle for inhomogeneous media . . . . . . . . . . . . . . . . . 1458--1477 Angel Prieto On the electrodynamic group: The relativistic radiation reaction force 1478--1494 Frank Thomas Tveter Deriving the Hamilton equations of motion for a nonconservative system using a variational principle . . . . . 1495--1500 P. A. Faria da Veiga and M. O'Carroll and R. Schor A classical large $N$ hierarchical vector model in three dimensions: A nonzero fixed point and canonical decay of correlation functions . . . . . . . . 1501--1516 Bernard Gaveau and L. S. Schulman Theory of nonequilibrium first-order phase transitions for stochastic dynamics . . . . . . . . . . . . . . . . 1517--1533 Steven Miller A stochastic method for Brownian-like optical transport calculations in anisotropic biosuspensions and blood . . 1534--1550 Geoffrey Endean A note on Tauber's expanding universe in conformally flat coordinates . . . . . . 1551--1554 Mirta S. Iriondo and Enzo O. Leguizamón and Oscar A. Reula Fast and slow solutions in General Relativity: The initialization procedure 1555--1565 M. A. J. Ashdown and S. S. Somaroo and S. F. Gull and C. J. L. Doran and A. N. Lasenby Multilinear representations of rotation groups within geometric algebra . . . . 1566--1588 Cheng Chen and G. Cheng Anomalous dimension in the solution of the Barenblatt's equation . . . . . . . 1589--1600 Omar Foda and Kailash C. Misra and Masato Okado Damazure modules and vertex models: The ${\rm sl}(2)$ case . . . . . . . . . . . 1601--1622 Norifumi Hayaishi and Kei Miki $L$ operators and Drinfeld's generators 1623--1636 Wen-ling Huang Transformations of strongly causal space--times preserving null geodesics 1637--1641 Malcolm A. MacLeod The spherical curl transform of a linear force-free magnetic field . . . . . . . 1642--1658 G. E. Sneddon The identities of the algebraic invariants of the four-dimensional Riemann tensor. II . . . . . . . . . . . 1659--1679 Launey J. Thomas, III and Eyvind H. Wichmann On a class of distributions of interest in quantum field theory ac . . . . . . . 1680--1719 I. G. Avramidi Erratum: ``Covariant algebraic method for calculation of the low-energy heat kernel'', (J. Math. Phys. \bf 36, 5055--5070 (1995)) . . . . . . . . . . . 1720--1720
Stephen L. Adler Gauge fixing in the partition function for generalized quantum dynamics . . . . 1723--1729 Silke Arians Geometric approach to inverse scattering for hydrogen-like systems in a homogeneous magnetic field . . . . . . . 1730--1743 Masashi Ban Phase-space representation of quantum state vectors . . . . . . . . . . . . . 1744--1765 Z. Haba Feynman integral in regularized nonrelativistic quantum electrodynamics 1766--1787 Andrzej Herdegen Semidirect product of CCR and CAR algebras and asymptotic states in quantum electrodynamics . . . . . . . . 1788--1817 C. J. Isham and N. Linden and K. Sawidou and S. Schreckenberg Continuous time and consistent histories 1818--1834 Andrzej Lesniewski and Ron Rubin and Nathan Salwen Classical limits for quantum maps on the torus . . . . . . . . . . . . . . . . . 1835--1847 Seichi Naito Operator product expansions and stress operators . . . . . . . . . . . . . . . 1848--1886 A. W. Sáenz Lie-series approach to the evolution of resonant and nonresonant anharmonic oscillators in quantum mechanics . . . . 1887--1909 M. Sezgin and A. Y. Verdiyev and Y. A. Verdiyev Generalized Poschl--Teller, Toda, Morse potentials and ${\rm SL}(2,R)$ group . . 1910--1918 Donald Spector Duality, partial supersymmetry, and arithmetic number theory . . . . . . . . 1919--1927 A. H. Völkel Symmetry and symmetry breaking in quantum-chromo(flavor)-dynamics . . . . 1928--1956 Tuncay Aktosun and Martin Klaus and Cornelis van der Mee Wave scattering in one dimension with absorption . . . . . . . . . . . . . . . 1957--1992 Alejandro M. Mesón and Femando Vericat Geodesic flow on an hyperboloid model and the two-body motion under repulsive Coulomb forces . . . . . . . . . . . . . 1993--1996 Panayotis Panayotaros Diagrams in classical and semiclassical perturbation theory . . . . . . . . . . 1997--2003 H. Cornille Exact solutions for nonconservative two-velocity discrete Bolkmann models 2004--2018 Lester N. Coyle Infinite moments of the partition function for random walks in a random potential . . . . . . . . . . . . . . . 2019--2034 Toru Miyazawa Algebraic approach to scattering theory of the Fokker--Planck equation . . . . . 2035--2076 Ko Okumura A reformulation of simple liquids theory --- Renormalization by one-, two-, and three-particle densities . . . . . . . . 2077--2102 Metin Gürses and Atalay Karasu Integrable coupled KdV systems . . . . . 2103--2111 Sen-yue Lou KdV extensions with Painlevé property . . 2112--2121 R. Myrzakulov and S. Vijayalakshmi and R. N. Syzdykova and M. Lakshmanan On the simplest $(2 + 1)$ dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations . . . . . . . . . . . . . . . 2122--2140 Göran Bergqvist Positivity properties of the Bel--Robinson tensor . . . . . . . . . . 2141--2147 Andrzej Krasi\'nski Rotating dust solutions of Einstein's equations with three-dimensional symmetry groups. III. All Killing fields linearly independent of ua and wa . . . 2148--2179 M. J. Rebou\vcas and A. F. F. Teixeira Riemannian space--times of Gödel type in five dimensions . . . . . . . . . . . . 2180--2192 William N. Sajko and Paul S. Wesson and Hongya Liu Gauge conditions in modern Kaluza--Klein theory . . . . . . . . . . . . . . . . . 2193--2200 R. Steinbauer Geodesics and geodesic deviation for impulsive gravitational waves . . . . . 2201--2212 Júrgen Tolksdorf The Einstein--Hilbert--Yang--Mills--Higgs action and the Dirac--Yukawa operator 2213--2241 S. P. Braham and J. Gegenberg Yang--Mills flow and uniformization theorems . . . . . . . . . . . . . . . . 2242--2253 F. Brau Integral equation formulation of the spinless Salpeter equation . . . . . . . 2254--2263 S. A. Buchwalter and P. Moylan Representations of the Poincaré Lie algebra from unitary representations of ${\rm SO}(1,4)$ . . . . . . . . . . . . 2264--2272 X. M. Ding and B. Y. Hou and B. Yuan Hou and L. Zhao Free boson representation of ${\rm DYh}(glN)k$ and ${\rm DYh}(slN)k$ . . . 2273--2289 Maria I. Golenishcheva-Kutuzova and Victor G. Kac $G$-conformal algebras . . . . . . . . . 2290--2305 J. Gratus A natural basis for spinor and vector fields on the noncommutative sphere . . 2306--2324 Samir Karaa Extremal eigenvalue gaps for the Schrödinger operator with Dirichlet boundary conditions . . . . . . . . . . 2325--2332 O. M. Kiselev Perturbation theory for the Dirac equation in two-dimensional space . . . 2333--2345 A. Ludu and M. Greiner and J. P. Draayer Wavelets and quantum algebras . . . . . 2346--2361 Brett McInnes Existence of parallel spinors on nonsimply connected Riemannian manifolds 2362--2366 G. Sartori and V. Talamini Orbit spaces of compact coregular simple Lie groups with 2, 3 and 4 basic polynomial invariants: Effective tools in the analysis of invariant potentials 2367--2401 Stephen Bruce Sontz Entropy and the Segal--Bargmann transform . . . . . . . . . . . . . . . 2402--2417 A. Vercin Ordered products, $W(\infty)$-algebra, and two-variable, definite-parity, orthogonal polynomials . . . . . . . . . 2418--2427 Peter Wagner Evaluation of nonrelativistic one-loop Feynman integrals by distributional methods . . . . . . . . . . . . . . . . 2428--2436 P. Zeiner and R. Dirl and B. L. Davies Bloch and Wannier functions composed of Gaussian orbitals --- analyticity, localization, and expectation values . . 2437--2454 Rudolf A. Frick Erratum: ``A new Hamiltonian operator for a massive relativistic particle with spin one in a generalized Heisenberg/Schrödinger picture'' (J. Math. Phys. \bf 38, 3457--3465 (1997)) 2455--2455
I. E. Antoniou and M. Gadella and G. P. Pronko Gamow vectors for degenerate scattering resonances . . . . . . . . . . . . . . . 2459--2475 Asao Arai Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras 2476--2498 H. M. Babujian and A. V. Kitaev Generalized Knizhnik--Zamolodchikov equations and isomonodromy quantization of the equations integrable via the Inverse Scattering Transform: Maxwell--Bloch system with pumping . . . 2499--2506 K. Bering Geometry of the Batalin--Fradkin--Vilkovisky theorem . . 2507--2519 Vladimir Buslaev and Alain Grigis Imaginary parts of Stark--Wannier resonances . . . . . . . . . . . . . . . 2520--2550 Li\`es Dekar and Lyazid Chetouani and Theophile F. Hammann An exactly soluble Schrödinger equation with smooth position-dependent mass . . 2551--2563 Hiroshi Hasegawa and Jian-Zhong Ma Intermediate level statistics with one-parameter random matrix ensembles 2564--2583 Gianpiero Mangano Path integral approach to noncommutative space--times . . . . . . . . . . . . . . 2584--2591 Harry A. Mavromatis From Turbiner's quasi-exactly soluble potentials in $N$ dimensions to analytic solutions of the combined Coulomb plus oscillator system . . . . . . . . . . . 2592--2596 Wolfgang Scherer Quantum averaging. III. Time-dependent systems . . . . . . . . . . . . . . . . 2597--2634 M. A. Soloviev A uniqueness theorem for distributions and its application to nonlocal quantum field theory . . . . . . . . . . . . . . 2635--2642 Launey J. Thomas III and Eyvind H. Wichmann Standard forms of local nets in quantum field theory . . . . . . . . . . . . . . 2643--2681 Hideyasu Yamashita Hyperfinite-dimensional representations of canonical commutation relation . . . 2682--2692 T. Ioannidou and W. J. Zakrzewski Solutions of the modified chiral model in $(2 + 1)$ dimensions . . . . . . . . 2693--2701 Shaun N. Mosley Alternative potentials for the electromagnetic field . . . . . . . . . 2702--2713 Gennadi A. Sardanashvily Hamiltonian time-dependent mechanics . . 2714--2729 Fabio Bagarello and Geoffrey L. Sewell New structures in the theory of the laser model. II. Microscopic dynamics and a nonequilibrium entropy principle 2730--2747 U. Franz and R. Schott Diffusion on braided spaces . . . . . . 2748--2762 Göran Lindblad Brownian motion of quantum harmonic oscillators: Existence of a subdynamics 2763--2780 Philippe Montarnal Study of hydrodynamical limits in a multicollision scale Boltzmann equation for semiconductors . . . . . . . . . . . 2781--2799 J. M. Cerveró and P. G. Estévez Miura transformation between two non-linear equations in $2 + 1$ dimensions . . . . . . . . . . . . . . . 2800--2807 Gulmaro Corona Corona Couple coefficients for the two-block AKNS system . . . . . . . . . . . . . . 2808--2812 Guo-xing Ju and Shi-kun Wang and Ke Wu The algebraic structure of the ${\rm gl}(n.m)$ color Calogero--Sutherland models . . . . . . . . . . . . . . . . . 2813--2820 K. V. Rerikh Nonalgebraic integrability of one reversible dynamical system of the Cremona type . . . . . . . . . . . . . . 2821--2832 Johan van de Leur Schlesinger--Bäcklund transformations for the $N$-component KP . . . . . . . . . . 2833--2847 Ruguang Zhou Lax representation, $r$-matrix method, and separation of variables for the Neumann-type restricted flow . . . . . . 2848--2858 F. Andersson and S. Brian Edgar Curvature-free asymmetric metric connections and Lanczos potentials in Kerr--Schild spacetimes . . . . . . . . 2859--2861 Sijie Gao and Zhiquan Kuang and Canbin Liang ``Clock rate synchronizable'' reference frames in curved space--times . . . . . 2862--2865 V. D. Ivashchuk and V. N. Melnikov Multidimensional classical and quantum cosmology with intersecting $p$-branes 2866--2888 Ivan G. Avramidi Green functions of higher-order differential operators . . . . . . . . . 2889--2909 Carina Boyallian and Victor G. Kac and José I. Liberati and Catherine H. Yan Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle . . . . . . . . 2910--2928 A. Figueiredo and T. M. Rocha Filho and L. Brenig Algebraic structures and invariant manifolds of differential systems . . . 2929--2946 Alejandra Folguera Davey--Stewartson type equations of the second and third order: Derivation and classification . . . . . . . . . . . . . 2947--2968 M. Mnatsakanova and G. Morchio and F. Strocchi and Yu Vernov Irreducible representations of the Heisenberg algebra in Krein spaces . . . 2969--2982 E. H. Tahri Quantum group structure on the quantum plane . . . . . . . . . . . . . . . . . 2983--2992
I. Antoniou and M. Gadella and I. Prigogine and G. P. Pronko Relativistic Gamow vectors . . . . . . . 2995--3018 David Applebaum Quantum martingale measures and stochastic partial differential equations in Fock space . . . . . . . . 3019--3030 K. Arthur and Y. Brihaye and D. H. Tchrakian Interaction energy of generalized Abelian Higgs vortices . . . . . . . . . 3031--3042 Ion I. Cot\uaescu A relativistic supersymmetry and some algebraic consequences . . . . . . . . . 3043--3049 J. S. Dehesa and R. J. Yáñez and A. I. Aptekarev and V. Buyarov Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials . . . 3050--3060 Matthias Eberspächer and Werner Scheid The modified Newton-Sabatier method for the coupled channel inverse scattering problem with charged particles at fixed energy . . . . . . . . . . . . . . . . . 3061--3072 K. Frieler and K.-H. Rehren A non-Abelian square root of Abelian vertex operators . . . . . . . . . . . . 3073--3090 Hendrik Grundling and C. A. Hurst Constrained dynamics for quantum mechanics. I. Restricting a particle to a surface . . . . . . . . . . . . . . . 3091--3119 Kazuto Oshima de Rham cohomology of ${\rm SO}(n)$ and some related manifolds by supersymmetric quantum mechanics . . . . . . . . . . . 3120--3130 Claudio Simeone Quantization of minisuperspaces as ordinary gauge systems . . . . . . . . . 3131--3137 Hernán Cendra and Darryl D. Holm and Mark J. W. Hoyle and Jerrold E. Marsden The Maxwell--Vlasov equations in Euler--Poincaré form . . . . . . . . . . 3138--3157 Sebastiano Sonego and Marek A. Abramowicz Maxwell equations and the optical geometry . . . . . . . . . . . . . . . . 3158--3166 Ariel Fernández and Andrés Colubri Microscopic dynamics from a coarsely defined solution to the protein folding problem . . . . . . . . . . . . . . . . 3167--3187 Francesco Guerra and Andreas Knauf Free energy and correlations of the number-theoretical spin chain . . . . . 3188--3202 O. P. Bhutani and K. Singh Generalized similarity solutions for the type $D$ fluid in five-dimensional flat space . . . . . . . . . . . . . . . . . 3203--3212 Maciej B\laszak On separability of bi-Hamiltonian chain with degenerated Poisson structures . . 3213--3235 Marcin Cerkaski An application of Lax's formalism to a class of curvilinear axially symmetric coordinates in three-dimensional space 3236--3245 Deng-yuan Chen The potential constraints of the complex $(1 + 2)$-dimensional soliton systems and related Hamiltonian equations . . . 3246--3259 L. Herrera and J. Martínez Thermal conduction before relaxation in slowly rotating fluids . . . . . . . . . 3260--3270 Zhijun Qiao and Walter Strampp On different integrable systems sharing the same nondynamical $r$-matrix . . . . 3271--3279 Abdussattar and Babita Dwivedi Fluid space--times and conharmonic symmetries . . . . . . . . . . . . . . . 3280--3295 John W. Barrett and Louis Crane Relativistic spin networks and quantum gravity . . . . . . . . . . . . . . . . 3296--3302 Chris Doran and Anthony Lasenby and Anthony Challinor and Stephen Gull Effects of spin-torsion in gauge theory gravity . . . . . . . . . . . . . . . . 3303--3321 A. Feoli and W. R. Wood and G. Papini A dynamical symmetry breaking model in Weyl space . . . . . . . . . . . . . . . 3322--3331 Robert Low Stable singularities of wave-fronts in general relativity . . . . . . . . . . . 3332--3335 Ulf S. Nilsson and Claes Uggla and Mattias Marklund Static perfect fluid cylinders . . . . . 3336--3346 T. Thiemann Closed formula for the matrix elements of the volume operator in canonical quantum gravity . . . . . . . . . . . . 3347--3371 T. Thiemann A length operator for canonical quantum gravity . . . . . . . . . . . . . . . . 3372--3392 E. Bott and M. Methfessel and W. Krabs and P. C. Schmidt Nonsingular Hankel functions as a new basis for electronic structure calculations . . . . . . . . . . . . . . 3393--3425 Salih Çelik and Sultan A. Çelik and Metin Arik Differential calculus on the $h$-superplane . . . . . . . . . . . . . 3426--3436 Gaetano Fiore Deforming maps for Lie group covariant creation and annihilation operators . . 3437--3452 François Gieres and Stéphane Gourmelen $d=2$, $N = 2$ superconformally covariant operators and super $W$-algebras . . . . . . . . . . . . . . 3453--3475 Avinash Khare and Bhabani Prasad Mandal Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems . . . . 3476--3486 Volodymyr Lyubashenko and Anthony Sudbery Generalized Lie algebras of type ${A}_n$ 3487--3504 Stanislav Spichak and Valerii Stognii Symmetry classification and exact solutions of the Kramers equation . . . 3505--3510 G. F. Torres del Castillo Erratum: ``Exact solutions of the Einstein equations with sources from linearized solutions'' (J. Math. Phys. \bf 37, 4584--4589 (1996)) . . . . . . . 3511--3511
G. N. J. Añaños and A. P. C. Malbouisson and N. F. Svaiter Analytic regularization of the $(\bar{\psi}_i,\psi_i)^2_D$ model at finite temperature and density . . . . . 3515--3521 M. Castagnino and G. Domenech and M. Levinas and N. Umérez The doublet representation of non-Hilbert eigenstates of the Hamiltonian. II . . . . . . . . . . . . 3522--3529 C. Emmrich and H. Römer Multicomponent Wentzel--Kramers--Brillouin approximation on arbitrary symplectic manifolds: A star product approach . . . 3530--3546 S. P. Gavrilov and D. M. Gitman and A. E. Gonçalves QED in external field with space--time uniform invariants: Exact solutions . . 3547--3567 D. Hennig Exponential stability for the energy exchange dynamics of the Holstein model 3568--3576 Branislav Jur\vco and Peter Schupp Adler--Kostant--Symes scheme for face and Calogero--Moser--Sutherland-type models . . . . . . . . . . . . . . . . . 3577--3588 Walter Kunhardt On infravacua and superselection theory 3589--3599 Clasine van Winter An increasing entropy for a free quantum particle . . . . . . . . . . . . . . . . 3600--3618 Giuseppe Bandelloni and Serge Lazzarini Kodaira--Spencer deformation of complex structures and Lagrangian field theory 3619--3642 Edwin A. Marengo and Anthony J. Devaney Time-dependent plane wave and multipole expansions of the electromagnetic field 3643--3660 Daniel R. Stump Arnol'd's transformation --- An example of a generalized canonical transformation . . . . . . . . . . . . . 3661--3669 J. Lukkarinen Lattice approximation of quantum statistical traces at a complex temperature . . . . . . . . . . . . . . 3670--3677 D. J. Percival and P. A. Robinson Generalized plasma dispersion functions 3678--3693 Daljit S. Ahluwalia and Joseph B. Keller and Charles Knessl Advection--diffusion around a curved obstacle . . . . . . . . . . . . . . . . 3694--3710 H. J. S. Dorren A linearizing transformation for the Korteweg--de Vries equation; generalizations to higher-dimensional nonlinear partial differential equations 3711--3729 Raúl Felipe and Fausto Ongay $N$-extended superelliptic integrable systems . . . . . . . . . . . . . . . . 3730--3737 Wen-Jui Huang and Jiin-Chang Shaw and Ming-Hsien Tu Matrix formulation of Hamiltonian structures of constrained KP hierarchy 3738--3753 K. R. Khusnutdinova and H. Steudel Second harmonic generation: Hamiltonian structures and particular solutions . . 3754--3764 M. Lakshmanan and R. Myrzakulov and S. Vijayalakshmi and A. K. Danlybaeva Motion of curves and surfaces and nonlinear evolution equations in $(2 + 1)$ dimensions . . . . . . . . . . . . . 3765--3771 H. Leblond The secular solutions of the linearized Korteweg--de Vries equation . . . . . . 3772--3782 Tamás Tasnádi Hard chaos in magnetic billiards (on the hyperbolic plane) . . . . . . . . . . . 3783--3804 M. A. Clayton Canonical general relativity: The diffeomorphism constraints and spatial frame transformations . . . . . . . . . 3805--3816 L. Herrera and N. O. Santos Geodesics in Lewis space--time . . . . . 3817--3827 César Bautista A Poincaré--Birkhoff--Witt theorem for generalized Lie color algebras . . . . . 3828--3843 Yuly Billig Principal vertex operator representations for toroidal Lie algebras . . . . . . . . . . . . . . . . 3844--3864 B. L. Feigin and A. M. Semikhatov and I. Yu. Tipunin Equivalence between chain categories of representations of affine $\mathit{sl}(2)$ and $N = 2$ superconformal algebras . . . . . . . . 3865--3905 James P. M. Flude The Edmonds asymptotic formulas for the $3$-$j$ and $6$-$j$ symbols . . . . . . 3906--3915 Stefan Ritter On a class of Robin boundary value problems in physical geodesy . . . . . . 3916--3926 Z. Thomova and P. Winternitz and W. J. Zakrzewski Solutions of $(2 + 1)$-dimensional spin systems . . . . . . . . . . . . . . . . 3927--3944 Anonymous Information for Contributors . . . . . . v
Bruno Torrésani Introduction to the special issue on wavelet and time-frequency analysis . . 3949--3953 S. Twareque Ali A general theorem on square-integrability: Vector coherent states . . . . . . . . . . . . . . . . . 3954--3964 Paolo Aniello and Gianni Cassinelli and Ernesto De Vito and Alberto Levrero Wavelet transforms and discrete frames associated to semidirect products . . . 3965--3973 Hartmut Führ Continuous wavelet transforms with Abelian dilation groups . . . . . . . . 3974--3986 J.-P. Antoine and P. Vandergheynst Wavelets on the $n$-sphere and related manifolds . . . . . . . . . . . . . . . 3987--4008 T. Paul and A. Uribe Weighted trace formula near a hyperbolic trajectory and complex orbits . . . . . 4009--4015 Patrick Flandrin Separability, positivity, and minimum uncertainty in time--frequency energy distributions . . . . . . . . . . . . . 4016--4040 Gerald Matz and Franz Hlawatsch Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theory . . . . . . . . . . . . . . . . . 4041--4070 J. Bertrand and P. Bertrand Symbolic calculus on the time-frequency half-plane . . . . . . . . . . . . . . . 4071--4090 Peter Frick and Alex Grossmann and Philippe Tchamitchian Wavelet analysis of signals with gaps 4091--4107 Pierre Gilles Lemarié-Rieusset Some remarks on the Navier--Stokes equations in $\mathbb{R}^3$ . . . . . . 4108--4118 Jacques Lewalle Formal improvements in the solution of the wavelet-transformed Poisson and diffusion equations . . . . . . . . . . 4119--4128 Stéphane Jaffard Oscillation spaces: Properties and applications to fractal and multifractal functions . . . . . . . . . . . . . . . 4129--4141 A. Arneodo and E. Bacry and J. F. Muzy Random cascades on wavelet dyadic trees 4142--4164 Charles-Antoine Guerin and Matthias Holschneider Time-dependent scattering on fractal measures . . . . . . . . . . . . . . . . 4165--4194 J. Zak Orthonormal sets of localized functions for a Landau level . . . . . . . . . . . 4195--4200 Jean Pierre Gazeau and Ji\vrí Patera and Edita Pelantová Tau-wavelets in the plane . . . . . . . 4201--4212 Guillaume Bernuau Wavelets bases adapted to a self-similar quasicrystal . . . . . . . . . . . . . . 4213--4225 Yuchuan Wei and Nanxian Chen Square wave analysis . . . . . . . . . . 4226--4245
Tuncay Aktosun and Martin Klaus and Cornelis van der Mee On the number of bound states for the one-dimensional Schrödinger equation . . 4249--4256 Augusto Brandão Symplectic structure for Gaussian diffusions . . . . . . . . . . . . . . . 4257--4283 Roberto Casini The effect of configuration mixing on the first-order moments of polarized hydrogen lines . . . . . . . . . . . . . 4284--4298 A. I. Davydychev and R. Delbourgo A geometrical angle on Feynman integrals 4299--4334 César R. de Oliveira A proof of the dynamical version of the Bombieri--Taylor conjecture . . . . . . 4335--4342 Yishi Duan and Libin Fu The general decomposition theory of $\mathit{SU}(2)$ gauge potential, topological structure and bifurcation of $\mathit{SU}(2)$ Chern density . . . . . 4343--4355 Heng Fan and Bo-yu Hou and Kang-jie Shi and Wen-li Yang The elliptic quantum algebra $A_{q,p}(\hat{sl_n})$ and its bosonization at level one . . . . . . . 4356--4368 Silvestro Fassari and Martin Klaus Coupling constant thresholds of perturbed periodic Hamiltonians . . . . 4369--4416 Nanny Fröman and Per Olof Fröman JWKB connection-formula problem revisited again via Borel summation . . 4417--4429 T. D. Gargett and I. N. McArthur Derivative expansion of one loop effective actions for Yang--Mills fields 4430--4448 Tetsuya Hattori and Hiroshi Watanabe Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action . . . . . . . . . . . . 4449--4475 Tobias Kuna and Ludwig Streit and Werner Westerkamp Feynman integrals for a class of exponentially growing potentials . . . . 4476--4491 A. N. Mitra and R. Ramanathan On simulating Liouvillian flow from quantum mechanics via Wigner functions 4492--4498 Ali Mostafazadeh Two-component formulation of the Wheeler--DeWitt equation . . . . . . . . 4499--4512 Ingo J. Peter and Gérard G. Emch Quantum Anosov flows: A new family of examples . . . . . . . . . . . . . . . . 4513--4539 Haru-Tada Sato Thermodynamic fermion loop in a constant magnetic field . . . . . . . . . . . . . 4540--4545 John David Crawford and Anandhan Jayaraman Amplitude equations for electrostatic waves: Multiple species . . . . . . . . 4546--4577 Arturo Echeverría-Enríquez and Miguel C. Muñoz-Lecanda and Narciso Román-Roy Multivector fields and connections: Setting Lagrangian equations in field theories . . . . . . . . . . . . . . . . 4578--4603 D. Felbacq and B. Guizal and F. Zolla Limit analysis of the diffraction of a plane wave by a one-dimensional periodic medium . . . . . . . . . . . . . . . . . 4604--4607 F. Belgiorno Black hole thermodynamics and spectral analysis . . . . . . . . . . . . . . . . 4608--4633 P. Degond and C. Schmeiser Macroscopic models for semiconductor heterostructures . . . . . . . . . . . . 4634--4663 Joseph Gozani Propagation of waves through non-Gaussian longitudinally correlated random media . . . . . . . . . . . . . . 4664--4674 Richard J. Krantz and Jack Douthett and Steven D. Doty Maximally even sets and the devil's-staircase phase diagram for the one-dimensional Ising antiferromagnet with arbitrary-range interaction . . . . 4675--4682 L. V. Bogdanov and B. G. Konopelchenko Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy 4683--4700 L. V. Bogdanov and B. G. Konopelchenko Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies . . . . . . 4701--4728 F. Delduc and L. Gallot Supersymmetric Drinfeld--Sokolov reduction . . . . . . . . . . . . . . . 4729--4745 Heng Fan and Bo-Yu Hou and Guang-Liang Li and Kang-Jie Shi and Yan-Shen Wang A one-dimensional many-body integrable model from $Z_n$ Belavin model with open boundary conditions . . . . . . . . . . 4746--4758 Cezary Gonera Direct proof of integrability of Calogero--Moser model . . . . . . . . . 4759--4765 Xing-Biao Hu and Zuo-Nong Zhu Some new results on the Blaszak--Marciniak lattice: Bäcklund transformation and nonlinear superposition formula . . . . . . . . . 4766--4772 Jiin-Chang Shaw and Ming-Hsien Tu Binary Darboux--Bäcklund transformations for the Manin--Radul super KdV hierarchy 4773--4784 Takayuki Tsuchida and Hideaki Ujino and Miki Wadati Integrable semi-discretization of the coupled modified KdV equations . . . . . 4785--4813 Daniel Canarutto Possibly degenerate tetrad gravity and Maxwell--Dirac fields . . . . . . . . . 4814--4823 P. Hájí\vcek Group-theoretical quantization of $2 + 1$ gravity in the metric-torus sector 4824--4848 N. E. Mavromatos and E. Winstanley Existence theorems for hairy black holes in $\mathfrak{su}(N)$ Einstein--Yang--Mills theories . . . . . 4849--4873 Gennadi A. Sardanashvily Covariant spin structure . . . . . . . . 4874--4890 Masayuki Tanimoto New varieties of Gowdy space--times . . 4891--4898 L. F. Barannyk and P. Basarab-Horwath and W. I. Fushchych On the classification of subalgebras of the conformal algebra with respect to inner automorphisms . . . . . . . . . . 4899--4922 Y. Brihaye Quommutator deformations of ${\rm spl}(N, 1)$ . . . . . . . . . . . . . . 4923--4927 Bertfried Fauser On an easy transition from operator dynamics to generating functionals by Clifford algebras . . . . . . . . . . . 4928--4947 Victor A. Galaktionov and Sergey A. Posashkov Maximal sign-invariants of quasilinear parabolic equations with gradient diffusivity . . . . . . . . . . . . . . 4948--4964 A. Guichardet On the representations of a $Q$-oscillator algebra . . . . . . . . . 4965--4969 P. John and O. Moritsch and M. Schweda and S. P. Sorella Algebraic characterization of gauge anomalies on a nontrivial bundle . . . . 4970--4981 C. Juszczak and J. T. Sobczyk Classification of low-dimensional Lie super-bialgebras . . . . . . . . . . . . 4982--4992 Saburo Kakei Intertwining operators for a degenerate double affine Hecke algebra and multivariable orthogonal polynomials . . 4993--5006 M. Lagraa and N. Touhami Lie-algebraic structure from inhomogeneous Hopf algebras . . . . . . 5007--5014 K. C. Pati and D. Parashar Iwasawa decomposition of affine Kac--Moody algebras using Satake diagrams . . . . . . . . . . . . . . . . 5015--5023 M. Scheunert and R. B. Zhang Cohomology of Lie superalgebras and their generalizations . . . . . . . . . 5024--5061 J. Van der Jeugt and R. Jagannathan Realizations of $\mathrm{su}(1,1)$ and $U_q$ $(\mathrm{su}(1,1))$ and generating functions for orthogonal polynomials . . . . . . . . . . . . . . 5062--5078
Stephen L. Adler and Achim Kempf Corrections to the emergent canonical commutation relations arising in the statistical mechanics of matrix models 5083--5097 E. Brüning and S. Nagamachi Closure of field operators, asymptotic Abelianness, and vacuum structure in hyperfunction quantum field theory . . . 5098--5111 Melchior O. Elout and David Z. Goodson and Carl D. Elliston and Shi-Wei Huang and Alexei V. Sergeev and Deborah K. Watson Improving the convergence and estimating the accuracy of summation approximants of $1 / D$ expansions for Coulombic systems . . . . . . . . . . . . . . . . 5112--5122 Jutta Escher and J. P. Draayer Fermion realization of the nuclear $\mathit{Sp}(6,R)$ model . . . . . . . . 5123--5147 Franco Ferrari and Jan T. Sobczyk Operator formalism for bosonic beta--gamma fields on general algebraic curves . . . . . . . . . . . . . . . . . 5148--5165 Anupam Garg Application of the discrete Wentzel--Kramers--Brillouin method to spin tunneling . . . . . . . . . . . . . 5166--5179 R. Giannitrapani Quantum coordinates of an event in local quantum physics . . . . . . . . . . . . 5180--5182 J. M. F. Labastida and Esther Pérez Kontsevich integral for Vassiliev invariants from Chern--Simons perturbation theory in the light-cone gauge . . . . . . . . . . . . . . . . . 5183--5198 C.-W. H. Lee and S. G. Rajeev A Lie algebra for closed strings, spin chains, and gauge theories . . . . . . . 5199--5230 Rados\law Szmytkowski Operator formulation of Wigner's $R$-matrix theories for the Schrödinger and Dirac equations . . . . . . . . . . 5231--5252 Zuo-Bing Wu and Jin-Yan Zeng Extension of Bertrand's theorem and factorization of the radial Schrödinger equation . . . . . . . . . . . . . . . . 5253--5259 Sixia Yu and Yongde Zhang A constructive index theorem, phase operators, and phase-difference operators . . . . . . . . . . . . . . . 5260--5267 F. Calogero Integrable and solvable many-body problems in the plane via complexification . . . . . . . . . . . . 5268--5291 Krzysztof Marciniak and Stefan Rauch-Wojciechowski Two families of nonstandard Poisson structures for Newton equations . . . . 5292--5306 Steven D. Miller Stochastic construction of a Feynman path integral representation for Green's functions in radiative transfer . . . . 5307--5315 Hildegard Meyer-Ortmanns and Thomas Reisz The monotony criterion for a finite size scaling analysis of phase transitions 5316--5323 R. Aldrovandi and L. P. Freitas Continuous iteration of dynamical maps 5324--5336 H. Belich and G. Cuba and R. Paunov Vertex operator representation of the soliton tau functions in the $A_n^{(1)}$ Toda models by dressing transformations 5337--5363 Sen-yue Lou and Jian-jun Xu Higher dimensional Painlevé integrable models from the Kadomtsev--Petviashvili equation . . . . . . . . . . . . . . . . 5364--5376 Dmitry Pelinovsky Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions . . . . . . . . . . 5377--5395 Pierre C. Sabatier On local inverse transforms . . . . . . 5396--5405 P. Dolan and B. D. Muratori The Lanczos potential for vacuum space--times with an Ernst potential . . 5406--5420 Pierre Gravel Static stringlike solutions in five-dimensional relativity . . . . . . 5421--5426 Steven G. Harris Universality of the future chronological boundary . . . . . . . . . . . . . . . . 5427--5445 Oleg Kechkin and Maria Yurova Symplectic gravity models in four, three and two dimensions . . . . . . . . . . . 5446--5457 M. K. Mak and T. Harko Full causal bulk-viscous cosmological models . . . . . . . . . . . . . . . . . 5458--5476 Pawe\l Nurowski On a certain formulation of the Einstein equations . . . . . . . . . . . . . . . 5477--5480 Pawe\l Nurowski Elliptic fibrations associated with the Einstein space--times . . . . . . . . . 5481--5490 Daniel Tilley and Roy Maartens Perturbations in inflationary cosmologies with smooth exit . . . . . . 5491--5501 Jin-Quan Chen and Peng-Dong Fan Algebraic solutions for point groups: The tetrahedral group for the group chain $T \supset D_2 \supset C_2$ . . . 5502--5518 Jin-Quan Chen and Peng-Dong Fan Algebraic expressions of the Clebsch--Gordan coefficients of the point group $T^{\dagger}$ . . . . . . . 5519--5535 S. K. Foong Addendum: ``Overcoming dissipative distortions by a waveform restorer and designer'', [J. Math. Phys. \bf 36, 2324 (1995)] . . . . . . . . . . . . . . . . 5536--5542 C. S. Lam Decomposition of time-ordered products and path-ordered exponentials . . . . . 5543--5558 A. I. Molev Finite-dimensional irreducible representations of twisted Yangians . . 5559--5600 Arthur J. Mountain Invariant tensors and Casimir operators for simple compact Lie groups . . . . . 5601--5607 A. I. Mudrov Twisting cocycles in fundamental representation and triangular bi-crossproduct Hopf algebras . . . . . 5608--5616 Micheline Musette and Robert Conte Bäcklund transformation of partial differential equations from the Painlevé--Gambier classification. I. Kaup--Kupershmidt equation . . . . . . . 5617--5630 Feng Pan and J. P. Draayer Complementary group resolution of the $\mathit{SU}(n)$ outer multiplicity problem. I. The Littlewood rules and a complementary $\mathcal{U}(2,n-2)$ group structure . . . . . . . . . . . . . . . 5631--5641 Feng Pan and J. P. Draayer Complementary group resolution of the $\mathit{SU}(n)$ outer multiplicity problem. II. Recoupling approach for $\mathit{SU}(3) \supset \mathit{U}(2)$ reduced Wigner coefficients . . . . . . 5642--5662 V. Hnizdo Comment on ``An exactly solvable two-body problem with retarded interactions and radiation reaction in classical electrodynamics'', [J. Math. Phys. \bf 38, 5690 (1997)] . . . . . . . 5663--5663 R. Rivera and D. Villarroel Response to ``Comment on `An exactly solvable two-body problem with retarded interactions and radiation reaction in classical electrodynamics'\,'' (J. Math. Phys. \bf 39, 5663 (1998)) . . . . . . . 5664--5664 W\ladys\law Marcinek Erratum: ``Particles in singular magnetic field'', [J. Math. Phys. \bf 39, 818 (1998)] . . . . . . . . . . . . 5665--5665
J. Barcelos-Neto and R. Thibes Two-form gauge fields in the Becchi--Rouet--Stora--Tyutin superspace 5669--5692 Bruno Blaive and Michel Cadilhac Expansion of the hydrogen-like wave functions in the inverse principal quantum number, for the discrete and continuous spectra . . . . . . . . . . . 5693--5699 Theodore Bodurov Complex Hamiltonian evolution equations and field theory . . . . . . . . . . . . 5700--5715 Michel Daumens and Pierre Minnaert Canonical and quasicanonical realizations of the ${\rm osp}(D/d)$ superalgebra and the Coulomb problem in superspaces . . . . . . . . . . . . . . 5716--5725 T. S. Evans and T. W. B. Kibble and D. A. Steer Wick's theorem for nonsymmetric normal ordered products and contractions . . . 5726--5738 Roberto Floreanini and Luc Lapointe and Luc Vinet Algebraic description of $S_N$-invariant oscillator states . . . . . . . . . . . 5739--5761 L. S. Georgiev and I. T. Todorov Rational conformal field theory extensions of $W_{1 + \infty}$ in terms of bilocal fields . . . . . . . . . . . 5762--5771 Stanley Gudder A histories approach to quantum mechanics . . . . . . . . . . . . . . . 5772--5788 Avinash Khare and Bhabani Prasad Mandal A number of quasiexactly solvable $N$-body problems . . . . . . . . . . . 5789--5797 J. Krause $\mathrm{SU}(2)$ quantum kinematics: Rotation-observable versus angular-momentum generalized commutation relations . . . . . . . . . . . . . . . 5798--5810 G. Lévai and B. Kónya and Z. Papp Unified treatment of the Coulomb and harmonic oscillator potentials in $\mathbf{D}$ dimensions . . . . . . . . 5811--5823 D. O'Keeffe and D. H. Tchrakian and Yisong Yang Sigma models coupled with Abelian gauge fields . . . . . . . . . . . . . . . . . 5824--5831 T. D. Palev and N. I. Stoilova Highest weight irreducible representations of the quantum algebra U$_h(A_\infty)$ . . . . . . . . . . . . 5832--5849 Oliver Rudolph Symmetries of history quantum theories and decoherence functionals . . . . . . 5850--5855 C. Chandre and H. R. Jauslin A version of Thirring's approach to the Kolmogorov--Arnold--Moser theorem for quadratic Hamiltonians with degenerate twist . . . . . . . . . . . . . . . . . 5856--5865 Vladimir Dragovi\'c and Milena Radnovi\'c On periodical trajectories of the billiard systems within an ellipsoid in ${R^d}$ and generalized Cayley's condition . . . . . . . . . . . . . . . 5866--5869 Dionisios Margetis Electromagnetic fields in air of traveling-wave currents above the earth 5870--5893 Sergey Pekarsky and Jerrold E. Marsden Point vortices on a sphere: Stability of relative equilibria . . . . . . . . . . 5894--5907 W. Sarlet and R. Sahadevan and F. Cantrijn Symmetries, separability and volume forms . . . . . . . . . . . . . . . . . 5908--5924 Kostake Teleman Relativistic eccentric anomalies . . . . 5925--5933 Matthias Wollensak Maxwell fields in anisotropic space--times . . . . . . . . . . . . . . 5934--5945 Osamu Tsuchiya Determinant formula for the six-vertex model with reflecting end . . . . . . . 5946--5951 Tony W. Dixon and Brian G. Kenny Transition to criticality in circle maps at the golden mean . . . . . . . . . . . 5952--5963 Yunbo Zeng and Runliang Lin Families of dynamical $r$-matrices and Jacobi inversion problem for nonlinear evolution equations . . . . . . . . . . 5964--5983 M. Ansorg Timelike geodesic motions within the general relativistic gravitational field of the rigidly rotating disk of dust . . 5984--6000 John K. Beem and Andrzej Królak Cauchy horizon end points and differentiability . . . . . . . . . . . 6001--6010 J. Bi\vcák and A. Pravdová Symmetries of asymptotically flat electrovacuum space--times and radiation 6011--6039 Luca Bombelli and Fernando Lombardo and Mario Castagnino Chaos in Robertson--Walker cosmology . . 6040--6050 Nora Bretón and Alberto García and Alfredo Macías and Gustavo Yáñez Colliding plane waves in terms of Jacobi functions . . . . . . . . . . . . . . . 6051--6065 Helia Hollmann A harmonic space approach to quantum gravity of stationary space--times with $\mathit{SO}(3)$ symmetry . . . . . . . 6066--6085 Quan-Hui Liu The complete Schwarzschild interior and exterior solution in the harmonic coordinate system . . . . . . . . . . . 6086--6090 F. Bagarello Applications of topological $^*$-algebras of unbounded operators . . 6091--6105 Stephen Blake Calculus on the multivector manifold spin $^+(p,q)$ . . . . . . . . . . . . . 6106--6117 Novica Bla\vzi\'c and Neda Bokan and Zoran Raki\'c Foliation of a dynamically homogeneous neutral manifold . . . . . . . . . . . . 6118--6124 Mark Byrd Differential geometry on $\mathit{SU}(3)$ with applications to three state systems . . . . . . . . . . 6125--6136 Fabio Giannoni and Paolo Piccione An existence theory for relativistic brachistochrones in stationary space--times . . . . . . . . . . . . . . 6137--6152 G. Grensing Modified real structures for quantum groups and applications . . . . . . . . 6153--6161 Benito Hernández-Bermejo and Víctor Fairén Hamiltonian structure and Darboux theorem for families of generalized Lotka--Volterra systems . . . . . . . . 6162--6174 Yasushi Komori and Kazuhiro Hikami Conserved operators of the generalized elliptic Ruijsenaars models . . . . . . 6175--6190 Mario Paschke and Andrzej Sitarz Discrete spectral triples and their symmetries . . . . . . . . . . . . . . . 6191--6205 Ronaldo Rodrigues Silva The trace formulas yield the inverse metric formula . . . . . . . . . . . . . 6206--6213 D. J. Rowe and J. Repka Branching rules for restriction of the Weil representations of $\mathit{Sp}(n,\mathbb{R})$ to its maximal parabolic subgroup $\mathit{CM}(n)$ . . . . . . . . . . . . 6214--6224 Dong Ruan and Hong-zhou Sun Algebraic expressions for some $\mathit{SO}(N)$ Racah coefficients . . 6225--6240 J. Kóta and Z. Perjés Erratum: ``All stationary vacuum metrics with shearing geodesic eigenrays'', [J. Math. Phys. \bf 13, 1695 (1972)] . . . . 6241--6241 A. I. Mudrov Erratum: ``On quantization of $Z_2$-graded algebras'', [J. Math. Phys. 38, 476--483 (1997)] . . . . . . . . . . 6242--6242
Natig M. Atakishiyev and Sergey M. Chumakov and Kurt Bernardo Wolf Wigner distribution function for finite systems . . . . . . . . . . . . . . . . 6247--6261 D. Matthew Feldmann and Paul J. Pelzl and Frederick W. King Resolution of some mathematical problems arising in the relativistic treatment of the $S$ states of three-electron systems 6262--6275 Felix Finster Local $U$ (2,2) symmetry in relativistic quantum mechanics . . . . . . . . . . . 6276--6290 R. Gielerak and L. Jakóbczyk and R. Olkiewicz Stochastically positive structures on Weyl algebras. The case of quasi-free states . . . . . . . . . . . . . . . . . 6291--6328 Valentin Ya. Golodets and Sergey V. Neshveyev Gibbs states for AF algebras . . . . . . 6329--6344 Richard L. Hall and Nasser Saad and Attila B. von Keviczky Matrix elements for a generalized spiked harmonic oscillator . . . . . . . . . . 6345--6352 Walter Kunhardt On infravacua and the localization of sectors . . . . . . . . . . . . . . . . 6353--6363 Pekka Lahti and Sylvia Pulmannova and Kari Ylinen Coexistent observables and effects in a convexity approach . . . . . . . . . . . 6364--6371 N. P. Landsman Strict quantization of coadjoint orbits 6372--6383 Marc Lesimple Deformations of massless Gupta--Bleuler triplets in $3 + 2$ de Sitter space . . 6384--6391 A. Nerses and E. E. Kunhardt Solitary excitations of a two-dimensional electron gas . . . . . . 6392--6402 H. Scutaru Transition probabilities between quasifree states . . . . . . . . . . . . 6403--6415 O. Tjernberg Symmetry adapted states for Hubbard clusters . . . . . . . . . . . . . . . . 6416--6423 Hans van Leeuwen and Hans Maassen The $q$-harmonic oscillator in a lattice model . . . . . . . . . . . . . . . . . 6424--6440 Yaping Yang and Zhixin Lin and Shuangyuan Xie and Weiguo Feng and Xiang Wu $q$-phase-coherent states and their squeezing properties . . . . . . . . . . 6441--6453 Renat Zhdanov and Maxim Lutfullin On separable Schrödinger--Maxwell equations . . . . . . . . . . . . . . . 6454--6458 Goong Chen and Sze-Bi Hsu and Jianxin Zhou Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span . . . . . . . . . . . . . . . . . . 6459--6489 Lisa Borland and Angel R. Plastino and Constantino Tsallis Information gain within nonextensive thermostatistics . . . . . . . . . . . . 6490--6501 Dorje C. Brody and Lane P. Hughston The quantum canonical ensemble . . . . . 6502--6508 Veni Choi and Yong Moon Park and Hyun Jae Yoo Dirichlet forms and Dirichlet operators for infinite particle systems: Essential self-adjointness . . . . . . . . . . . . 6509--6536 Florin Diacu and Dan \cSelaru Chaos in the Gyldén problem . . . . . . . 6537--6546 Attilio Maccari A generalized Hirota equation in $2 + 1$ dimensions . . . . . . . . . . . . . . . 6547--6551 Dmitry E. Pelinovsky and Catherine Sulem Bifurcations of new eigenvalues for the Benjamin--Ono equation . . . . . . . . . 6552--6572 Uchida Gen and Tetsuya Shiromizu Timelike infinity and asymptotic symmetry . . . . . . . . . . . . . . . . 6573--6592 Gabriele Gionti Simplicial quantum gravity in the elongated phase . . . . . . . . . . . . 6593--6602 Domenico Giulini Is there a general area theorem for black holes? . . . . . . . . . . . . . . 6603--6606 Jeffrey M. Groah Time-independent bounds on solutions with shocks to the relativistic Euler equations on conformally flat space--times with curvature singularities . . . . . . . . . . . . . 6607--6630 Osvaldo M. Moreschi and Sergio Dain Rest frame system for asymptotically flat space--times . . . . . . . . . . . 6631--6650 T. Zannias On stationary black holes of the Einstein conformally invariant scalar system . . . . . . . . . . . . . . . . . 6651--6667 A. I. Bobenko and B. Lorbeer and Yu. B. Suris Integrable discretizations of the Euler top . . . . . . . . . . . . . . . . . . 6668--6683 Qing Ding On harmonic maps into gauge groups . . . 6684--6695 Yishi Duan and Sheng Li The topological structure of the space--time disclination . . . . . . . . 6696--6705 M. Frontini and A. Tagliani Maximum entropy in the generalized moment problem . . . . . . . . . . . . . 6706--6714 W. Magnus and W. Schoenmaker On the use of a new integral theorem for the quantum mechanical treatment of electric circuits . . . . . . . . . . . 6715--6719 J. E. McCarthy and E. Yu. Backhaus and J. Fajans Solving Poisson's equation with interior conditions . . . . . . . . . . . . . . . 6720--6729 Hjalmar Rosengren On the triple sum formula for Wigner $9j$-symbols . . . . . . . . . . . . . . 6730--6744 R. Z. Zhdanov Lie symmetry and integrability of ordinary differential equations . . . . 6745--6756 Anonymous Summary of the Physics and Astronomy Classification Scheme --- 1996 (as amended for 1998) . . . . . . . . . . . 6757 Anonymous PACS Headings Used in the Present Index 6758 Anonymous Announcement: Probabilistic Techniques in Equilibrium and Nonequilibrium Statistical Physics . . . . . . . . . . I
Guy Boillat and Alberto Strumia On the Born--Infeld electron: Spin effects . . . . . . . . . . . . . . . . 1--11 Dorje C. Brody and Lane P. Hughston Thermalization of quantum states . . . . 12--18 Dongho Chae and Jongmin Han and Oleg Yu. Imanuvilov Existence and nonexistence in Chern--Simons--Higgs theory with a constant electric charge density . . . . 19--34 Mondher Damak On the spectral theory of dispersive $N$-body Hamiltonians . . . . . . . . . 35--48 H.-D. Doebner and G. A. Goldin and P. Nattermann Gauge transformations in quantum mechanics and the unification of nonlinear Schrödinger equations . . . . . 49--63 Ken Loo A rigorous real time Feynman path integral . . . . . . . . . . . . . . . . 64--70 M. Mattes and M. Sorg Second-order mixtures in relativistic Schrödinger theory . . . . . . . . . . . 71--92 M. V. Pletyukhov and E. A. Tolkachev 8 $D$ oscillator and 5 $D$ Kepler problem: The case of nontrivial constraints . . . . . . . . . . . . . . 93--100 R. W. Robinett Isolated versus nonisolated periodic orbits in variants of the two-dimensional square and circular billiards . . . . . . . . . . . . . . . 101--122 Clasine van Winter Chaotic observables for a free quantum particle . . . . . . . . . . . . . . . . 123--139 T. A. Weber Nonlocal potentials, isolated states, and Levinson's theorem . . . . . . . . . 140--149 Jingbo Xia An estimate of the ground state energy of the fractional quantum Hall effect 150--155 Nikolaos C. Skaropoulos and Dimitrios P. Chrissoulidis Rigorous application of the stochastic functional method to plane-wave scattering from a random cylindrical surface . . . . . . . . . . . . . . . . 156--168 F. L. Teixeira and W. C. Chew Lattice electromagnetic theory from a topological viewpoint . . . . . . . . . 169--187 Juan A. Calzada and Mariano A. del Olmo and Miguel A. Rodríguez Pseudo-orthogonal groups and integrable dynamical systems in two dimensions . . 188--209 P. A. Damianou and C. Sophocleous Symmetries of Hamiltonian systems with two degrees of freedom . . . . . . . . . 210--235 Manuel F. Rañada Superintegrability of the Calogero--Moser system: Constants of motion, master symmetries, and time-dependent symmetries . . . . . . . 236--247 Hang-Yu Ruan and Yi-Xin Chen The study of dromion interactions of $(2 + 1)$-dimensional integrable systems . . 248--255 Yuri A. Rylov Spin and wave function as attributes of ideal fluid . . . . . . . . . . . . . . 256--278 A. V. Tsiganov The Stäckel systems and algebraic curves 279--298 R. S. Ward Lax pairs for integrable lattice systems 299--308 E. N. Glass and Jonathan Kress Solutions of Penrose's equation . . . . 309--317 Petr Hájí\vcek Black hole interacting with matter as a simple dynamical system . . . . . . . . 318--339 James Isenberg and Satyanad Kichenassamy Asymptotic behavior in polarized $T^2$-symmetric vacuum space--times . . 340--352 R. T. Jantzen and C. Uggla The kinematical role of automorphisms in the orthonormal frame approach to Bianchi cosmology . . . . . . . . . . . 353--368 T. Biswas and Satish D. Joglekar Inverse Laplace transform and perturbation theory . . . . . . . . . . 369--382 Simonetta Frittelli and Ezra T. Newman and Gilberto Silva-Ortigoza The Eikonal equation in flat space: Null surfaces and their singularities. I . . 383--407 J. Fuchs and A. Ch. Ganchev and K. Szlachányi and P. Vecsernyés ${S}_4$ symmetry of $6$-$j$ symbols and Frobenius--Schur indicators in rigid monoidal $C^*$ categories . . . . . . . 408--426 L. K. Hadjiivanov and A. P. Isaev and O. V. Ogievetsky and P. N. Pyatov and I. T. Todorov Hecke algebraic properties of dynamical $\mathbf{R}$-matrices. Application to related quantum matrix algebras . . . . 427--448 Federico G. Lastaria Lie subalgebras of real and complex orthogonal groups in dimension four . . 449--453 Rémi Léandre String structure over the Brownian bridge . . . . . . . . . . . . . . . . . 454--479 G. Longhi and M. Materassi A canonical realization of the BMS algebra . . . . . . . . . . . . . . . . 480--500 K. C. Pati and D. Parashar and R. S. Kaushal Involutive automorphisms and Iwasawa decomposition of some hyperbolic Kac--Moody algebras . . . . . . . . . . 501--510 David W. Pravica Propagation estimates for dispersive wave equations: Application to the stratified wave equation . . . . . . . . 511--527 Ognyan Stoyanov Poisson--Lie structures on infinite-dimensional jet groups and quantum groups related to them . . . . . 528--582
R. Amorim and J. Barcelos-Neto Functional versus canonical quantization of a nonlocal massive vector-gauge theory . . . . . . . . . . . . . . . . . 585--600 H. J. Borchers and J. Yngvason Modular groups of quantum fields in thermal states . . . . . . . . . . . . . 601--624 Frank Burgbacher and Claus Lämmerzahl and Alfredo Macias Is there a stable hydrogen atom in higher dimensions? . . . . . . . . . . . 625--634 A. Chakrabarti Implementation of an iterative map in the construction of (quasi)periodic instantons: Chaotic aspects and discontinuous rotation numbers . . . . . 635--673 B. Geyer and P. M. Lavrov and D. Mülsch The osp(1,2)-covariant Lagrangian quantization of irreducible massive gauge theories . . . . . . . . . . . . . 674--698 Richard L. Hall Constructive inversion of energy trajectories in quantum mechanics . . . 699--707 E. G. Kalnins and G. C. Williams and W. Miller, Jr. and G. S. Pogosyan Superintegrability in three-dimensional Euclidean space . . . . . . . . . . . . 708--725 Jon Links and Angela Foerster and Michael Karowski Bethe ansatz solution of a closed spin 1 $XXZ$ Heisenberg chain with quantum algebra symmetry . . . . . . . . . . . . 726--735 N. S. Manton Deconstructing supersymmetry . . . . . . 736--750 Steven D. Miller Stochastic quantum geometry within a $(1 + 1)$ manifold: A basic construction . . 751--765 Jorge A. Morales and Erik Deumens and Yngve Öhrn On rotational coherent states in molecular quantum dynamics . . . . . . . 766--786 Raimar Wulkenhaar Gauge theories with graded differential Lie algebras . . . . . . . . . . . . . . 787--794 Frans Cantrijn and Manuel de León and Juan Carlos Marrero and David Martín de Diego Reduction of constrained systems with symmetries . . . . . . . . . . . . . . . 795--820 M. Castrillón López and J. Muñoz Masqué Gauge-invariant variationally trivial problems on \boldmath $T^*M$ . . . . . . 821--829 M. Chen On the geometric structure of thermodynamics . . . . . . . . . . . . . 830--837 Toru Miyazawa Green's function of the Fokker--Planck equation: General formula of frequency expansion . . . . . . . . . . . . . . . 838--856 Shinar Kouranbaeva The Camassa--Holm equation as a geodesic flow on the diffeomorphism group . . . . 857--868 Carlo Marchioro Large smoke rings with concentrated vorticity . . . . . . . . . . . . . . . 869--883 A. V. Porubov and M. G. Velarde Exact periodic solutions of the complex Ginzburg--Landau equation . . . . . . . 884--896 A. Rainer and H. Stephani Similarity reduction for a class of algebraically special perfect fluids . . 897--908 Othmar Brodbeck and Simonetta Frittelli and Peter Hübner and Oscar A. Reula Einstein's equations with asymptotically stable constraint propagation . . . . . 909--923 K. A. Bronnikov Gravitating brane systems: Some general theorems . . . . . . . . . . . . . . . . 924--938 Giovanni Giachetta Nonlinear realizations of the diffeomorphism group in metric-affine gauge theory of gravity . . . . . . . . 939--954 V. D. Gladush and R. A. Konoplya Split structures in general relativity and the Kaluza--Klein theories . . . . . 955--979 Hans-Peter Nollert and Richard H. Price Quantifying excitations of quasinormal mode systems . . . . . . . . . . . . . . 980--1010 Nir Barnea A recursive method for the construction of irreducible representations of the orthogonal group $O(n)$ . . . . . . . . 1011--1022 Friedemann Brandt Deformations of global symmetries in the extended antifield formalism . . . . . . 1023--1040 Simonetta Frittelli and Ezra T. Newman and Gilberto Silva-Ortigoza The Eikonal equation in asymptotically flat space--times . . . . . . . . . . . 1041--1056 Piotr Garbaczewski and Robert Olkiewicz Cauchy noise and affiliated stochastic processes . . . . . . . . . . . . . . . 1057--1073 Gavin Green Howe duality for the quantum groups $\mathcal{U}_q \mathrm{u}(m,n)$, $\mathcal{U}_q \mathrm{u}(M)$ . . . . . 1074--1086 Joseph B. Keller Singularities at the tip of a plane angular sector . . . . . . . . . . . . . 1087--1092 Ezra T. Newman and Alejandro Perez Characteristic surface data for the eikonal equation . . . . . . . . . . . . 1093--1102 David Schleef and Michelle Parry and Shu-Ju Tu and Brian Woodahl and Ephraim Fischbach Application of geometric probability techniques to the evaluation of interaction energies arising from a general radial potential . . . . . . . . 1103--1112 Simonetta Frittelli and Carlos N. Kozameh and Erza T. Newman Erratum: ``On the dynamics of characteristic surfaces'', [J. Math. Phys. \bf 36, 6397--6416 (1995)] . . . . 1113--1113 Simonetta Frittelli and Carlos N. Kozameh and Ezra T. Newman Erratum: ``Lorentzian metrics from characteristic surfaces'', [J. Math. Phys. \bf 36, 4975--4983 (1995)] . . . . 1114--1114 Simonetta Frittelli and Carlos N. Kozameh and Ezra T. Newman Erratum: ``GR via characteristic surfaces'', [J. Math. Phys. \bf 36, 4984--5004 (1995)] . . . . . . . . . . . 1115--1115 Simonetta Frittelli and Carlos N. Kozameh and Ezra T. Newman Erratum: ``Linearized Einstein theory via null surfaces'', [J. Math. Phys. \bf 36, 5005--5022 (1995)] . . . . . . . . . 1116--1116
F. Brau Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation . . . . . . . 1119--1126 I. Brevik and E. Elizalde and R. Sollie and J. B. Aarseth A new scaling property of the Casimir energy for a piecewise uniform string 1127--1135 Y. Brihaye and B. Kleihaus and D. H. Tchrakian Dyon--Skyrmion lumps . . . . . . . . . . 1136--1152 Shijin Ding and Boling Guo and Fengqiu Su Measure-valued solution to the strongly degenerate compressible Heisenberg chain equations . . . . . . . . . . . . . . . 1153--1162 Mariusz Dudek and Stefan Giller and Piotr Milczarski Rectangular well as perturbation . . . . 1163--1179 R. S. Dunne A braided interpretation of fractional supersymmetry in higher dimensions . . . 1180--1196 D. J. L. Herrmann and T. Janssen On spectral properties of Harper-like models . . . . . . . . . . . . . . . . . 1197--1214 Fumio Hiroshima Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field . . . . . . . . . . . . . . 1215--1236 Shoju Kudaka and Shuichi Matsumoto Uncertainty principle for proper time and mass . . . . . . . . . . . . . . . . 1237--1245 De-Hone Lin Path integral for the relativistic three-dimensional Aharonov--Bohm--Coulomb system . . . . . 1246--1254 Brett McInnes Metric symmetries and spin asymmetries of Ricci-flat Riemannian manifolds . . . 1255--1267 T. Michoel and A. Verbeure Nonextensive Bose--Einstein condensation model . . . . . . . . . . . . . . . . . 1268--1279 J. Niederle and A. G. Nikitin Extended supersymmetries for the Schrödinger--Pauli equation . . . . . . . 1280--1293 Saeid Nouri Determination of Wigner distribution function for the $d$-dimensional Coulomb problem . . . . . . . . . . . . . . . . 1294--1299 R. Olkiewicz Dynamical semigroups for interacting quantum and classical systems . . . . . 1300--1316 O. Radulescu and T. Janssen Arithmetic properties of spectra produced by Farey hierarchies of approximants . . . . . . . . . . . . . . 1317--1333 Alexei Rybkin On a trace formula of the Buslaev--Faddeev type for a long-range potential . . . . . . . . . . . . . . . 1334--1343 Karl-Georg Schlesinger Toward quantum mathematics. I. From quantum set theory to universal quantum mechanics . . . . . . . . . . . . . . . 1344--1358 Scott Craig and Florin Diacu and Ernesto A. Lacomba and Ernesto Perez On the anisotropic Manev problem . . . . 1359--1375 G. Giachetta and L. Mangiarotti and G. Sardanashvily Nonholonomic constraints in time-dependent mechanics . . . . . . . . 1376--1390 Marin Marin An evolutionary equation in thermoelasticity of dipolar bodies . . . 1391--1399 E. Prodan Transfer matrices for scalar fields on curved spaces . . . . . . . . . . . . . 1400--1405 P. G. Estévez Darboux transformation and solutions for an equation in $2 + 1$ dimensions . . . 1406--1419 Ignace Loris and Ralph Willox Symmetry reductions of the BKP hierarchy 1420--1431 Zhou Shengfan On dimension of the global attractor for damped nonlinear wave equations . . . . 1432--1438 Ry\=oen Shirasaki and Kaoru Iwano Analytical study of fractionally charged solitons in a one-dimensional trimerized electron--phonon system . . . . . . . . 1439--1465 G. S. Hall and M. S. Capocci Classification and conformal symmetry in three-dimensional space--times . . . . . 1466--1478 M. Kunzinger and R. Steinbauer A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves . . . . . 1479--1489 J. W. Maluf and J. F. da Rocha-Neto Static Bondi energy in the teleparallel equivalent of general relativity . . . . 1490--1503 Merced Montesinos and Hugo A. Morales-Técotl and Luis F. Urrutia and J. David Vergara Real sector of the nonminimally coupled scalar field to self-dual gravity . . . 1504--1517 Aristophanes Dimakis and Folkert Müller-Hoissen Discrete Riemannian geometry . . . . . . 1518--1548 A. A. Izmest'ev and G. S. Pogosyan and A. N. Sissakian and P. Winternitz Contractions of Lie algebras and separation of variables. The $n$-dimensional sphere . . . . . . . . . 1549--1573 T. D. Palev and N. I. Stoilova Highest weight irreducible representations of the Lie superalgebra $\mathit{gl}(1|\infty)$ . . . . . . . . 1574--1594 S. N. M. Ruijsenaars Generalized Lamé functions. I. The elliptic case . . . . . . . . . . . . . 1595--1626 S. N. M. Ruijsenaars Generalized Lamé functions. II. Hyperbolic and trigonometric specializations . . . . . . . . . . . . 1627--1663 Stephen Bruce Sontz On the reproducing kernel of the Segal--Bargmann space . . . . . . . . . 1664--1676 Stephen Bruce Sontz A reverse log-Sobolev inequality in the Segal--Bargmann space . . . . . . . . . 1677--1695
M. A. Alonso and G. W. Forbes New approach to semiclassical analysis in mechanics . . . . . . . . . . . . . . 1699--1718 Klaus Baumann Bounded Bose fields in $1 + 1$ dimensions commuting for space- and timelike distances . . . . . . . . . . . 1719--1737 José M. Cerveró and Juan D. Lejarreta The Floquet analysis and noninteger higher harmonics generation . . . . . . 1738--1755 Khosrow Chadan and Reido Kobayashi and Monique Lassaut Generalization of the Birman--Schwinger method for the number of bound states 1756--1763 Per Olof Fröman and Kilian Larsson and Anders Hökback Energy levels of a quantal particle enclosed in $N$ identical, mirror symmetric wells of a periodic potential. Numerical test of phase-integral formulas . . . . . . . . . . . . . . . . 1764--1779 Marcel Griesemer and Christian Tix Instability of a pseudo-relativistic model of matter with self-generated magnetic field . . . . . . . . . . . . . 1780--1791 M. A. Grigoriev and A. M. Semikhatov and I. Yu. Tipunin Gauge symmetries of the master action in the Batalin--Vilkovisky formalism . . . 1792--1806 Topi Kärki On path integral localization and the Laplacian . . . . . . . . . . . . . . . 1807--1830 C. Korff and G. Lang and R. Schrader Two-particle scattering theory for anyons . . . . . . . . . . . . . . . . . 1831--1869 C.-W. H. Lee and S. G. Rajeev Poisson brackets of normal-ordered Wilson loops . . . . . . . . . . . . . . 1870--1890 Y\=uji Ohta Differential equations for scaling relation in $N = 2$ supersymmetric $\mathit{SU}(2)$ Yang--Mills theory coupled with massive hypermultiplet . . 1891--1900 S. Teufel and D. Dürr and K. Münch-Berndl The flux-across-surfaces theorem for short range potentials and wave functions without energy cutoffs . . . . 1901--1922 Shyan-Ming Perng On conserved quantities at spatial infinity . . . . . . . . . . . . . . . . 1923--1950 M. A. Ayari and V. Hussin and P. Winternitz Group invariant solutions for the $N = 2$ super Korteweg--de Vries equation . . 1951--1965 H. J. S. Dorren On the integrability of nonlinear partial differential equations . . . . . 1966--1976 V. M. Eleonsky and V. G. Korolev Isospectral problem for Schrödinger operator: Evolutional viewpoint . . . . 1977--1992 Sasanka Ghosh and Anjan Kundu and Sudipta Nandy Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation . . . . . . . . . 1993--2000 Xing-Biao Hu and Yong-Tang Wu and Xian-Guo Geng Hirota bilinear approach to a new integrable differential-difference system . . . . . . . . . . . . . . . . . 2001--2010 V. O. Vakhnenko High-frequency soliton-like waves in a relaxing medium . . . . . . . . . . . . 2011--2020 Uchida Gen and Tetsuya Shiromizu Asymptotically Schwarzschild space--times . . . . . . . . . . . . . . 2021--2031 Brendan S. Guilfoyle Weyl-type fields with geodesic lines of force . . . . . . . . . . . . . . . . . 2032--2045 Michael P. Reisenberger On relativistic spin network vertices 2046--2054 R. L. Agacy Generalized Kronecker and permanent deltas, their spinor and tensor equivalents and applications . . . . . . 2055--2063 S. Bonanos The algebra of two symmetric matrices: Proving completeness and deriving syzygies for a set of invariants of the Riemann tensor . . . . . . . . . . . . . 2064--2073 Laurent Cairó and Marc R. Feix and Jaume Llibre Darboux method and search of invariants for the Lotka--Volterra and complex quadratic systems . . . . . . . . . . . 2074--2091 Robert Conte and Micheline Musette and A. Michel Grundland Bäcklund transformation of partial differential equations from the Painlevé--Gambier classification. II. Tzitzéica equation . . . . . . . . . . . 2092--2106 Mark J. Gotay On the Groenewold--Van Hove problem for $R^{2} n$ . . . . . . . . . . . . . . . 2107--2116 Luc Haine and Jean-Pierre Semengue The Jacobi polynomial ensemble and the Painlevé VI equation . . . . . . . . . . 2117--2134 M. Havlí\vcek and A. U. Klimyk and S. Po\vsta Representations of the cyclically symmetric $q$-deformed algebra ${\rm so}_q(3)$ . . . . . . . . . . . . . . . 2135--2161 Thomas A. Heim and Dmitry Green Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations . . . . . 2162--2180 Pekka Lahti and Juha-Pekka Pellonpää and Kari Ylinen Operator integrals and phase space observables . . . . . . . . . . . . . . 2181--2189 K. N. Raghavan and P. Sankaran On Verma bases for representations of $sl(n,\mathbb{C})$ . . . . . . . . . . . 2190--2195 L. Borland and A. R. Plastino and C. Tsallis Erratum: ``Information gain within generalized thermostatistics'', [J. Math. Phys. \bf 39, 6490 (1998)] . . . . 2196--2196 Martin R. Zirnbauer Erratum: ``Toward a theory of the integer quantum Hall transition: Continuum limit of the Chalker--Coddington model'', [J. Math. Phys. \bf 38, 2007 (1997)] . . . . . . . 2197--2197
Carl M. Bender and Stefan Boettcher and Peter N. Meisinger $\mathcal{PT}$-symmetric quantum mechanics . . . . . . . . . . . . . . . 2201--2229 I. V. Gorbunov and S. L. Lyakhovich Hidden supersymmetry and Berezin quantization of $N = 2$, $D=3$ spinning superparticles . . . . . . . . . . . . . 2230--2253 Richard L. Hall An inversion inequality for potentials in quantum mechanics . . . . . . . . . . 2254--2258 Shoichi Ichinose and Noriaki Ikeda Weyl anomaly in higher dimensions and Feynman rules in coordinate space . . . 2259--2290 E. G. Kalnins and W. Miller, Jr. and Ye. M. Hakobyan and G. S. Pogosyan Superintegrability on the two-dimensional hyperboloid. II . . . . 2291--2306 B. Kónya and Z. Papp On the Coulomb Sturmian matrix elements of relativistic Coulomb Green's operators . . . . . . . . . . . . . . . 2307--2310 Shahn Majid Quantum geometry of field extensions . . 2311--2323 R. P. Martínez-y-Romero and A. L. Salas-Brito and Jaime Saldaña-Vega Nonunitary representations of the $\mathit{SU}(2)$ algebra in the Dirac equation with a Coulomb potential . . . 2324--2336 J. M. Mourão and T. Thiemann and J. M. Velhinho Physical properties of quantum field theory measures . . . . . . . . . . . . 2337--2353 K. A. Penson and A. I. Solomon New generalized coherent states . . . . 2354--2363 W. N. Sajko and P. S. Wesson and H. Liu Waves and particles in Kaluza--Klein theory . . . . . . . . . . . . . . . . . 2364--2380 Toshihiro Iwai Classical and quantum mechanics of jointed rigid bodies with vanishing total angular momentum . . . . . . . . . 2381--2399 Wen-Xiu Ma and Benno Fuchssteiner Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations . . . . . . . . . . . . . . . 2400--2418 Yordan P. Mishev On the Fay identity for Korteweg--de Vries tau functions and the identity for the Wronskian of squared solutions of Sturm--Liouville equation . . . . . . . 2419--2428 Rainer Schimming and Walter Strampp Differential polynomial expressions related to the Kadomtsev--Petviashvili and Korteweg--de Vries hierarchies . . . 2429--2444 Bixiang Wang and Horst Lange Attractors for the Klein--Gordon--Schrödinger equation . . . 2445--2457 Patricia M. Benoit and Alan A. Coley Anisotropic fluid spherically symmetric space--times admitting a kinematic self-similarity . . . . . . . . . . . . 2458--2469 Domenico Giulini The generalized thin-sandwich problem and its local solvability . . . . . . . 2470--2482 Mirta Iriondo and Carlos N. Kozameh and Alejandra T. Rojas Null cones from $\mathcal{I}^+$ and Legendre submanifolds . . . . . . . . . 2483--2493 Salih Çelik Hopf algebra structure of Gr$_q$ (1|1) related to GL$_q$ (1|1) . . . . . . . . 2494--2499 Tonatiuh Matos and Ulises Nucamendi and Petra Wiederhold $\mathit{SU}(N)$- and $\mathit{SO}(N)$-invariant chiral fields: One- and two-dimensional subspaces . . . . . . . . . . . . . . . 2500--2513 S. Ole Warnaar $q$-Trinomial identities . . . . . . . . 2514--2530 Klaus B. Mòller Comment on phase-space representation of quantum state vectors . . . . . . . . . 2531--2535
L. M. Baker and D. B. Fairlie Moyal--Nahm equations . . . . . . . . . 2539--2548 Bernhard Bodmann and Hajo Leschke and Simone Warzel A rigorous path integral for quantum spin using flat-space Wiener regularization . . . . . . . . . . . . . 2549--2559 M. Daniel and K. Manivannan On the geometric equivalence of certain discrete integrable Heisenberg ferromagnetic spin chains . . . . . . . 2560--2567 Timothy R. Field and Lane P. Hughston The geometry of coherent states . . . . 2568--2583 Christian Fleischhack A new type of loop independence and ${\rm SU}(N)$ quantum Yang--Mills theory in two dimensions . . . . . . . . . . . 2584--2610 Edward P. Furlani Quantization of massive vector fields in curved space--time . . . . . . . . . . . 2611--2626 Johannes Kellendonk Exact spectral values for discrete quantum pendulum-integrals . . . . . . . 2627--2639 Avinash Khare Exact ground state of several $N$-body problems with an $N$-body potential . . 2640--2646 Kening Lu and Xing-Bin Pan Eigenvalue problems of Ginzburg--Landau operator in bounded domains . . . . . . 2647--2670 N. H. March and L. M. Nieto and C. Amovilli and L. C. Balbás and M. L. Glasser Slater sum for central field problems characterized by its $s$-wave component alone . . . . . . . . . . . . . . . . . 2671--2679 Frank Reifler and Randall Morris Flavor symmetry of the tensor Dirac theory . . . . . . . . . . . . . . . . . 2680--2697 G. Roepstorff Superconnections and the Higgs field . . 2698--2715 C. B. van Wyk Momentum and spin of a particle with spin unity . . . . . . . . . . . . . . . 2716--2734 L. C. Q. Vilar and S. P. Sorella and C. A. G. Sasaki Zero curvature formalism of the four-dimensional Yang--Mills theory in superspace . . . . . . . . . . . . . . . 2735--2756 P. Zeiner and R. Dirl and B. L. Davies Complete sets of Bloch and Wannier functions composed of oscillator eigenfunctions . . . . . . . . . . . . . 2757--2781 D. Gómez-Ullate and S. Lafortune and P. Winternitz Symmetries of discrete dynamical systems involving two species . . . . . . . . . 2782--2804 John Gough Dissipative canonical flows in classical and quantum mechanics . . . . . . . . . 2805--2815 Patrick L. Nash A new first integral for a binary rigid body collision of arbitrarily short duration . . . . . . . . . . . . . . . . 2816--2829 Michel Nizette and Alain Goriely Towards a classification of Euler--Kirchhoff filaments . . . . . . . 2830--2866 R. Rivera and D. Villarroel An exact solution for several charges in classical electrodynamics . . . . . . . 2867--2881 G. F. Torres del Castillo and J. Mercado-Pérez Three-dimensional formulation of the Maxwell equations for stationary space--times . . . . . . . . . . . . . . 2882--2890 C. Barbachoux and F. Debbasch and J. P. Rivet Hydrodynamic behavior of Brownian particles in a position-dependent constant force field . . . . . . . . . . 2891--2908 Yu. Melnikov and E. Yarevsky Integral-difference collision operators: Analytical and numerical spectral analysis . . . . . . . . . . . . . . . . 2909--2921 H. Aratyn and E. Nissimov and S. Pacheva Supersymmetric Kadomtsev--Petviashvili hierarchy: ``Ghost'' symmetry structure, reductions, and Darboux--Bäcklund solutions . . . . . . . . . . . . . . . 2922--2932
Zhi-De Chen and Xiang-Jun Chen and Nian-Ning Huang Hamiltonian formalism for the nonlinear Schrödinger equation in physical space--time . . . . . . . . . . . . . . 2933--2948
Mario Gattobigio and Antonio Liguori and Mihail Mintchev The nonlinear Schrödinger equation on the half line . . . . . . . . . . . . . . . 2949--2970 Xianguo Geng and Yongtang Wu Finite-band solutions of the classical Boussinesq--Burgers equations . . . . . 2971--2982 Pierre C. Sabatier New direct linearizations for KdV and solutions of the other Cauchy problem 2983--3020 Ming-Hsien Tu and Jiin-Chang Shaw Hamiltonian structures of generalized Manin--Radul super-KdV and constrained super KP hierarchies . . . . . . . . . . 3021--3034 G. Al\`\i and John K. Hunter Large amplitude gravitational waves . . 3035--3052 Miguel Á. G. Bonilla and Carlos F. Sopuerta Super-energy tensor for space--times with vanishing scalar curvature . . . . 3053--3062 Spiros Cotsakis and John Miritzis and Laurent Querella Variational and conformal structure of nonlinear metric-connection gravitational Lagrangians . . . . . . . 3063--3071 Ryszard Rudnicki and Marek Wolf Random walk with memory . . . . . . . . 3072--3083 Wie\vslaw Rudnicki and Pawe\l Zi\keba Curvature conditions for the occurrence of a class of spacetime singularities 3084--3090 Sultan A. Çelik and Emanullah Hizel and Salih Çelik Two-parametric extension of $h$-deformation of ${\rm Gr}(1|1)$ . . . 3091--3098 F. G. Gascón and D. Peralta Salas Instability of vector fields induced by first integrals . . . . . . . . . . . . 3099--3103 M. Havlícek and S. Posta and P. Winternitz Nonlinear superposition formulas based on imprimitive group action . . . . . . 3104--3122 Jin Hong Center and universal $R$-matrix for quantized Borcherds superalgebras . . . 3123--3145 M. Irac-Astaud and C. Quesne Unitary representations of the quantum algebra ${\rm su}_q(2)$ on a real two-dimensional sphere for $q \in \mathbb{R}^+$ or generic $q \in S^1$ . . 3146--3161 E. Kh. Khristov On an application of Crum--Krein transform to expansions in products of solutions of two Sturm--Liouville equations . . . . . . . . . . . . . . . 3162--3174 H. C. Lee and R. B. Zhang Geometry and representations of the quantum supergroup ${\rm OSP}_q(1 | 2 n)$ . . . . . . . . . . . . . . . . . . 3175--3190 Kei Miki Toroidal and level 0 $U_q'(s^{\widehat{l_{n + 1}}})$ actions on ${\rm U}_q(g^{\widehat{l_{n + 1}}})$ modules . . . . . . . . . . . . . . . . 3191--3210 Yuji Ohta Picard--Fuchs ordinary differential systems in $N = 2$ supersymmetric Yang--Mills theories . . . . . . . . . . 3211--3226 Feng Xu On the signature of certain intersection forms . . . . . . . . . . . . . . . . . 3227--3234
Christian Fleischhack Erratum: ``A new type of loop independence and ${\rm SU}(N)$ quantum Yang--Mills theory in two dimensions'', [J. Math. Phys. 40, 2584 (1999)] . . . . 614--614
Carl M. Bender and Dorje C. Brody and Bernhard K. Meister Quantum field theory of partitions . . . 3239--3245 J. Dittmann and A. Uhlmann Connections and metrics respecting purification of quantum states . . . . . 3246--3267 Federico Finkel and Artemio González-López and Niky Kamran and Miguel A. Rodríguez On form-preserving transformations for the time-dependent Schrödinger equation 3268--3274 Sébastien Gyger and Philippe A. Martin Lifetimes of impurity states in crossed magnetic and electric fields . . . . . . 3275--3282 M. Keyl and R. F. Werner Optimal cloning of pure states, testing single clones . . . . . . . . . . . . . 3283--3299 Giovanni Modanese Tunneling of a massless field through a 3D Gaussian barrier . . . . . . . . . . 3300--3310 Ali Mostafazadeh Generalized adiabatic product expansion: A nonperturbative method of solving the time-dependent Schrödinger equation . . . 3311--3326 Shyamal Somaroo and Anthony Lasenby and Chris Doran Geometric algebra and the causal approach to multiparticle quantum mechanics . . . . . . . . . . . . . . . 3327--3340 Kai Hu A differential-geometric interpretation of Kirchhoff's elastic rods . . . . . . 3341--3352 C. Kane and J. E. Marsden and M. Ortiz Symplectic-energy-momentum preserving variational integrators . . . . . . . . 3353--3371 Bhimsen K. Shivamoggi and David K. Rollins Magnetohydrodynamic boundary layer on a flat plate: Further analytic results . . 3372--3378 P. Bracken and A. M. Grundland and L. Martina The Weierstrass--Enneper system for constant mean curvature surfaces and the completely integrable sigma model . . . 3379--3403 Péter Varga Unitary deformations and complex soliton equations . . . . . . . . . . . . . . . 3404--3408 Yongtang Wu and Xianguo Geng A finite-dimensional integrable system associated with the three-wave interaction equations . . . . . . . . . 3409--3430 Nadhem Zaalani Phase space reduction and Poisson structure . . . . . . . . . . . . . . . 3431--3438 P. Baki and J. O. Malo Cauchy analysis of the linearized skew sector of the massive nonsymmetric gravitational theory . . . . . . . . . . 3439--3445 Andrzej Borowiec and Marco Ferraris and Mauro Francaviglia and Igor Volovich Almost-complex and almost-product Einstein manifolds from a variational principle . . . . . . . . . . . . . . . 3446--3464 Rong-Gen Cai and J. B. Griffiths Null particle solutions in three-dimensional (anti-) de Sitter spaces . . . . . . . . . . . . . . . . . 3465--3475 M. A. Clayton Canonical general relativity: Matter fields in a general linear frame . . . . 3476--3489 Raúl Durán Díaz and Pedro M. Gadea and José A. Oubiña Reductive decompositions and Einstein--Yang--Mills equations associated to the oscillator group . . . 3490--3498 Alicia Herrero and Juan Antonio Morales Radial conformal motions in Minkowski space--time . . . . . . . . . . . . . . 3499--3508 Anderson Ilha and Antares Kleber and José P. S. Lemos Dimensionally continued Oppenheimer--Snyder gravitational collapse: Solutions in odd dimensions 3509--3518 Marek Szyd\lowski Desingularization of Jacobi metrics and chaos in general relativity . . . . . . 3519--3539 Xiao Zhang Positive mass conjecture for five-dimensional Lorentzian manifolds 3540--3552 Salih Çelik and Sultan A. Çelik Two-parameter nonstandard deformation of $2 \times 2$ matrices . . . . . . . . . 3553--3560 F. Silva Leite and P. Crouch Closed forms for the exponential mapping on matrix Lie groups based on Putzer's method . . . . . . . . . . . . . . . . . 3561--3568 U. Mu\ugan and A. Sakka Second-order second-degree Painlevé equations related with Painlevé I--VI equations and Fuchsian-type transformations . . . . . . . . . . . . 3569--3587 Robert Oeckl Classification of differential calculi on $U_q(mathfrak{b}_+)$, classical limits, and duality . . . . . . . . . . 3588--3603 D. J. Rowe and B. C. Sanders and H. de Guise Representations of the Weyl group and Wigner functions for $\mathit{SU}(3)$ 3604--3615 K. Scharnhorst A special irreducible matrix representation of the real Clifford algebra $C$ (3,1) . . . . . . . . . . . 3616--3631 R. Simon and S. Chaturvedi and V. Srinivasan Congruences and canonical forms for a positive matrix: Application to the Schweinler--Wigner extremum principle 3632--3642 Ugur Tanriver and S. Roy Choudhury Invariant Painlevé analysis and coherent structures of two families of reaction-diffusion equations . . . . . . 3643--3653 Yuchuan Wei Frequency analysis based on general periodic functions . . . . . . . . . . . 3654--3684 Wen-Xiu Ma Comment on ``Generalized $W_\infty$ symmetry algebra of the conditionally integrable nonlinear evolution equation'' [J. Math. Phys. \bf 36, 3492 (1995)] . . . . . . . . . . . . . . . . 3685--3690 Sen-yue Lou and Jian-ping Weng Response to ``Comment on `Generalized $W_\infty$ symmetry algebra of the conditionally integrable nonlinear evolution equation'\,'', [J. Math. Phys. 40, 3685 (1999)] . . . . . . . . . . . . 3691--3692 H. Azad and M. N. Qureshi and M. Ziad Comment on ``Geometric phase, bundle classification, and group representation'', [J. Math. Phys. \bf 37, 1218 (1996)] . . . . . . . . . . . . 3693--3696 Ali Mostafazadeh Erratum: ``Geometric phase, bundle classification, and group representation'', [J. Math. Phys. \bf 37, 1218 (1996)] . . . . . . . . . . . . 3697--3697
Tuncay Aktosun and Martin Klaus Asymptotics of the scattering coefficients for a generalized Schrödinger equation . . . . . . . . . . 3701--3709 Dario Bambusi On the dynamics of the Holstein model from the anticontinuous limit . . . . . 3710--3717 Masashi Ban Phase-space representation of quantum state vectors: The relative-state approach and the displacement-operator approach . . . . . . . . . . . . . . . . 3718--3722 Zorawar S. Bassi and André LeClair A one-dimensional model for $n$-level atoms coupled to an electromagnetic field . . . . . . . . . . . . . . . . . 3723--3731 A. Bérard and Y. Grandati and H. Mohrbach Magnetic monopole in the Feynman's derivation of Maxwell equations . . . . 3732--3737 Carlos Castro and Jerzy Pleba\'nski The generalized Moyal--Nahm and continuous Moyal--Toda equations . . . . 3738--3760 Leung Chim Central charge and the Andrews--Bailey construction . . . . . . . . . . . . . . 3761--3772 J. Guerrero and M. Calixto and V. Aldaya Modular invariance on the torus and Abelian Chern--Simons theory . . . . . . 3773--3790 Yuji Hara and Michio Jimbo and Hitoshi Konno and Satoru Odake and Jun'ichi Shiraishi Free field approach to the dilute $A_L$ models . . . . . . . . . . . . . . . . . 3791--3826 M. N. Hounkonnou and J. E. B. Mendy Exact solutions of the Dirac equation in a nonfactorizable metric . . . . . . . . 3827--3842 Valter Moretti One-loop stress-tensor renormalization in curved background: The relation between $\zeta$-function and point-splitting approaches, and an improved point-splitting procedure . . . 3843--3875 A. G. Ramm Inverse problem for an inhomogeneous Schrödinger equation . . . . . . . . . . 3876--3880 Yu. F. Smirnov and Anju Sharma Spin-mass content of the Bhabha particle and the group chain $SU(4) \supset Sp(4) \supset SU(2) \times U(1)$ . . . . . . . 3881--3894 Carlo Lancellotti and J. J. Dorning Time-asymptotic traveling-wave solutions to the nonlinear Vlasov--Poisson--Amp\`ere equations . . 3895--3917 Sebastiano Sonego Conformal behavior of the Lorentz--Dirac equation and Machian particle dynamics 3918--3924 J. J. P. Veerman and D. Bazeia and Fernando Moraes Soliton stability in a $Z$ (2) field theory . . . . . . . . . . . . . . . . . 3925--3929 L. Pastur and M. Shcherbina and B. Tirozzi On the replica symmetric equations for the Hopfield model . . . . . . . . . . . 3930--3947 Cewen Cao and Yongtang Wu and Xianguo Geng Relation between the Kadometsev--Petviashvili equation and the confocal involutive system . . . . . 3948--3970 Attilio Maccari A new integrable Davey--Stewartson-type equation . . . . . . . . . . . . . . . . 3971--3977 Zbigniew Banach Equivalence classes of perturbations in cosmologies of Bianchi types I and V: Formulation . . . . . . . . . . . . . . 3978--3994 Zbigniew Banach Equivalence classes of perturbations in cosmologies of Bianchi types I and V: Interpretation . . . . . . . . . . . . . 3995--4010 H. L. Carrion and M. J. Rebouças and A. F. F. Teixeira Gödel-type space--times in induced matter gravity theory . . . . . . . . . . . . . 4011--4027 L. Fernández-Jambrina Geodesic completeness of orthogonally transitive cylindrical space--times . . 4028--4034 Janusz Garecki Canonical angular supermomentum tensors in general relativity . . . . . . . . . 4035--4055 E. N. Glass and J. P. Krisch Scale symmetries of spherical string fluids . . . . . . . . . . . . . . . . . 4056--4063 L. Herrera and Filipe M. Paiva and N. O. Santos The Levi-Civita space--time as a limiting case of the $\gamma$ space--time . . . . . . . . . . . . . . 4064--4071 V. D. Ivashchuk and S.-W. Kim and V. N. Melnikov Hyperbolic Kac--Moody algebra from intersecting $p$-branes . . . . . . . . 4072--4083 Merced Montesinos Connection with torsion from Ashtekar--Barbero connection . . . . . . 4084--4088 Y\=uji Ohta One-instanton prepotentials from WDVV equations in $N = 2$ supersymmetric $\mathit{SU}(4)$ Yang--Mills theory . . 4089--4098 G. F. Torres del Castillo and H. G. Solís-Rodríguez Self-duality and gravitational perturbations . . . . . . . . . . . . . 4099--4105 I. Antoniou and S. A. Shkarin and Z. Suchanecki The spectrum of the Liouville--von Neumann operator in the Hilbert--Schmidt space . . . . . . . . . . . . . . . . . 4106--4118 A. A. Bytsenko and A. E. Gonçalves and M. Simões and F. L. Williams Anomalies and analytic torsion on hyperbolic manifolds . . . . . . . . . . 4119--4133 Jamil Daboul and Robert Delbourgo Matrix representation of octonions and generalizations . . . . . . . . . . . . 4134--4150 Elke Dallmer On Lie algebras all nilpotent subalgebras of which are Abelian . . . . 4151--4156 Jintai Ding Hopf algebra extension of a Zamolochikov algebra and its double . . . . . . . . . 4157--4164 M. Klimek Conservation laws for linear equations on braided linear spaces . . . . . . . . 4165--4176 László Á. Gergely Comment on ``The complete Schwarzschild interior and exterior solution in the harmonic coordinate system'', [J. Math. Phys. \bf 39, 6086 (1998)] . . . . . . . 4177--4178 Quan-Hui Liu Response to ``Comment on `The complete Schwarzschild interior and exterior solution in the harmonic coordinate system'\,'', [J. Math. Phys. \bf 40, 4177 (1999)] . . . . . . . . . . . . . . 4179--4179 Xing-Biao Hu and Yong-Tang Wu and Xian-Guo Geng Erratum: ``Hirota bilinear approach to a new integrable differential-difference system'', [J. Math. Phys. \bf 40, 2001 (1999)] . . . . . . . . . . . . . . . . 4180--4180 Rados\law Szmytkowski Erratum: ``Operator formulation of Wigner's $R$-matrix theories for the Schrödinger and Dirac equations'', [J. Math. Phys. 39, 5231 (1998)] . . . . . . 4181--4181
Alfred Actor Point and line boundaries in scalar Casimir theory . . . . . . . . . . . . . 4185--4207 F. Calogero Partially solvable quantum many-body problems in $D$-dimensional space $(D = 1, 2, 3,\ldots{})$ . . . . . . . . . . . 4208--4226 Akio Fujiwara and Hiroshi Nagaoka An estimation theoretical characterization of coherent states . . 4227--4239 M. N. Hounkonnou and J. E. B. Mendy Exact solutions of Dirac equation for neutrinos in presence of external fields 4240--4254 M. N. Hounkonnou and M. Hounkpe and J. Shabani Exactly solvable models of $\delta^{\prime}$-sphere interactions in nonrelativistic quantum mechanics . . . 4255--4273 M. A. Jafarizadeh and S. K. Moayedi Degeneracy and para-supersymmetry of Dirac Hamiltonian in $(2 + 1)$-space--time . . . . . . . . . . . . 4274--4289 Joseph Melia and Michael Redhead On a purported local extension of the quantum formalism . . . . . . . . . . . 4290--4295 Dmitry I. Muravyev On one generalization for the projection matrices method in the $S$-matrix factorization problem . . . . . . . . . 4296--4302 O. T. Turgut Classical mechanics and geometric quantization on an infinite dimensional disc and Grassmannian . . . . . . . . . 4303--4324 Wei-zhong Zhao Gauge theory of $w$ symmetry . . . . . . 4325--4330 H. Ardavan Method of handling the divergences in the radiation theory of sources that move faster than their waves . . . . . . 4331--4336 Changsoo Bahn and Yong Moon Park and Hyun Jae Yoo Nonequilibrium dynamics of infinite particle systems with infinite range interactions . . . . . . . . . . . . . . 4337--4358 Boris M. Shevtsov Backscattering and inverse problem in random media . . . . . . . . . . . . . . 4359--4373 Henning Blohm Solution of a discrete inverse scattering problem and of the Cauchy problem of a class of discrete evolution equations . . . . . . . . . . . . . . . 4374--4392 Gulmaro Corona Corona Generalized Gel'fand--Levitan integral equation for two block Ablowitz--Kaup--Newell--Segur systems 4393--4399 F. Gentili and G. Morchio Irreversible weak limits of classical dynamical systems . . . . . . . . . . . 4400--4418 Wen-Xiu Ma and Ruguang Zhou A coupled AKNS--Kaup--Newell soliton hierarchy . . . . . . . . . . . . . . . 4419--4428 Luca Salasnich Instability and chaos in spatially homogeneous field theories . . . . . . . 4429--4443 Zhou Shengfan Dimension of the global attractor for damped semilinear wave equations with critical exponent . . . . . . . . . . . 4444--4451 Yunbo B. Zeng and Wen-Xiu Ma Families of quasi-bi-Hamiltonian systems and separability . . . . . . . . . . . . 4452--4473 A. M. Anile and John K. Hunter and Binh Truong The generation of gravitational waves by the resonant interaction of sound waves 4474--4494 Ji\vrí Bi\vcák and Ji\vrí Podolský Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of nontwisting type $N$ solutions . . . . . . . . . . . . . . . 4495--4505 Ji\vrí Bi\vcák and Ji\vrí Podolský Gravitational waves in vacuum spacetimes with cosmological constant. II. Deviation of geodesics and interpretation of nontwisting type $N$ solutions . . . . . . . . . . . . . . . 4506--4517 H. Lü and C. N. Pope and J. Rahmfeld A construction of Killing spinors on $S^n$ . . . . . . . . . . . . . . . . . 4518--4526 Claudio Simeone Gauge fixation and global phase time for minisuperspaces . . . . . . . . . . . . 4527--4537 S. Q. Wu and X. Cai Exact solutions to sourceless charged massive scalar field equation on Kerr--Newman background . . . . . . . . 4538--4548 Koji Hasegawa and Takeshi Ikeda and Tetsuya Kikuchi Commuting difference operators arising from the elliptic $C_2^{(1)}$-face model 4549--4568 P. P. Kulish and V. D. Lyakhovsky and A. I. Mudrov Extended Jordanian twists for Lie algebras . . . . . . . . . . . . . . . . 4569--4586 Michel Petitjean On the root mean square quantitative chirality and quantitative symmetry measures . . . . . . . . . . . . . . . . 4587--4595 Konrad Schmüdgen Operator representations of a $q$-deformed Heisenberg algebra . . . . 4596--4605
R. Amorim and J. Barcelos-Neto Extended gauge theories starting from the matter field Lagrangian . . . . . . 4609--4615 Carl M. Bender and Gerald V. Dunne Large-order perturbation theory for a non-Hermitian $\mathcal{PT}$-symmetric Hamiltonian . . . . . . . . . . . . . . 4616--4621 R. Cartas-Fuentevilla A conserved current for the field perturbations in the Einstein--Yang--Mills-dilaton--axion theory . . . . . . . . . . . . . . . . . 4622--4629 Pavel Exner and Simeon A. Vugalter On the number of particles that a curved quantum waveguide can bind . . . . . . . 4630--4638 Stephen Hwang and Robert Marnelius and Panagiotis Saltsidis A general BRST approach to string theories with zeta function regularizations . . . . . . . . . . . . 4639--4657 Peter B. Kahn and Yair Zarmi Time dependence of operators in anharmonic quantum oscillators: Explicit perturbative analysis . . . . . . . . . 4658--4663 Edward H. Kerner Nonassociative structure of quantum mechanics in curved space--time . . . . 4664--4676 Tamás G. Kovács and E. T. Tomboulis Absence of confinement in the absence of vortices . . . . . . . . . . . . . . . . 4677--4687 Pekka Lahti and Juha-Pekka Pellonpää Covariant phase observables in quantum mechanics . . . . . . . . . . . . . . . 4688--4698 Brett McInnes The semispin groups in string theory . . 4699--4712 Seichi Naito Quantum superstring field theory in the $\mathcal{B}_0$-gauge and the physical scattering amplitudes . . . . . . . . . 4713--4781 Matthias W. Reinsch and James J. Morehead Asymptotics of Clebsch--Gordan coefficients . . . . . . . . . . . . . . 4782--4806 G. Ares de Parga and R. Mares Exact solution of the Herrera equation of motion in classical electrodynamics 4807--4812 Guillaume Bal and George Papanicolaou and Leonid Ryzhik Diffusive energy scattering from weakly random surfaces . . . . . . . . . . . . 4813--4827 Maozheng Guo and Xiao-Ping Wang Transport equations for a general class of evolution equations with random perturbations . . . . . . . . . . . . . 4828--4858 Lorella Fatone and Cristina Pignotti and Maria Cristina Recchioni and Francesco Zirilli Time harmonic electromagnetic scattering from a bounded obstacle: An existence theorem and a computational method . . . 4859--4887 Yu. K. Podlipenko and Yu. V. Shestopalov On the electromagnetic scattering problem for an infinite dielectric cylinder of an arbitrary cross section located in the wedge . . . . . . . . . . 4888--4902 G. F. Torres del Castillo Jacobi's principle for magnetic interactions . . . . . . . . . . . . . . 4903--4910 Dale A. Woodside Uniqueness theorems for classical four-vector fields in Euclidean and Minkowski spaces . . . . . . . . . . . . 4911--4943 I. C. Charret and E. V. Corrêa Silva and S. M. de Souza and O. Rojas Santos and M. T. Thomaz Grassmann algebra and fermions at finite temperature . . . . . . . . . . . . . . 4944--4955 Azer Kerimov Uniqueness of Gibbs states in one-dimensional antiferromagnetic model with long-range interaction . . . . . . 4956--4974 N. S. Witte and D. Bessis The Lanczos algorithm for extensive many-body systems in the thermodynamic limit . . . . . . . . . . . . . . . . . 4975--4994 H.-D. Doebner and R. Z. Zhdanov The stationary KdV hierarchy and $so$ (2,1) as a spectrum generating algebra 4995--5003 Niky Kamran and Robert Milson Algebraic exact solvability of trigonometric-type Hamiltonians associated to root systems . . . . . . . 5004--5013 Sa\vsa Kre\vsi\'c-Juri\'c A loop group approach to the C. Neumann problem and Moser--Veselov factorization 5014--5025 Manuel F. Rañada and Mariano Santander Superintegrable systems on the two-dimensional sphere $S^2$ and the hyperbolic plane $H^2$ . . . . . . . . . 5026--5057 I. A. B. Strachan Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations . . . . . . . . . . . . . . . 5058--5079 Z. Yoshida and S. M. Mahajan Simultaneous Beltrami conditions in coupled vortex dynamics . . . . . . . . 5080--5091 Andrew P. Billyard and Alan A. Coley and James E. Lidsey Qualitative analysis of early universe cosmologies . . . . . . . . . . . . . . 5092--5105 Daniele Binosi and Sergio Zerbini Quantum scalar field in $D$-dimensional static black hole space--times . . . . . 5106--5116 Lluís Bruna and Joan Girbau Linearization stability of the Einstein equation for Robertson--Walker models. I 5117--5130 Lluís Bruna and Joan Girbau Linearization stability of the Einstein equation for Robertson--Walker models. II . . . . . . . . . . . . . . . . . . . 5131--5137 Robert J. Budzy\'nski and Witold Kondracki and Andrzej Królak On the differentiability of Cauchy horizons . . . . . . . . . . . . . . . . 5138--5142 Simonetta Frittelli and Oscar A. Reula Well-posed forms of the $3 + 1$ conformally-decomposed Einstein equations . . . . . . . . . . . . . . . 5143--5156 Martin Rainer The effective $\sigma$-model of multidimensional gravity . . . . . . . . 5157--5183 Paolo Aniello and Gianni Cassinelli and Ernesto De Vito and Alberto Levrero Frames from imprimitivity systems . . . 5184--5202 I. Bandos and E. Ivanov and A. A. Kapustnikov and S. A. Ulanov General solution of string inspired nonlinear equations . . . . . . . . . . 5203--5223 Peter A. Becker A new perturbative technique for solving integro-partial differential equations 5224--5239 Jingfang Huang Integral representations of harmonic lattice sums . . . . . . . . . . . . . . 5240--5246 M. Makai and Y. Orechwa Symmetries of boundary value problems in mathematical physics . . . . . . . . . . 5247--5263 Yao-Zhong Zhang and Mark D. Gould Quasi-Hopf superalgebras and elliptic quantum supergroups . . . . . . . . . . 5264--5282 Robert Conte and Micheline Musette Comment on ``Exact periodic solutions of the complex Ginzburg--Landau equation'', [J. Math. Phys. \bf 40, 884 (1999)] . . 5283--5283 Alexei V. Porubov and Manuel G. Velarde Response to ``Comment on `Exact periodic solutions of the complex Ginzburg--Landau equation'\,'', [J. Math. Phys. \bf 40, 5283 (1999)] . . . . 5284--5284
Tuncay Aktosun On the Schrödinger equation with steplike potentials . . . . . . . . . . . . . . . 5289--5305 Ricardo Amorim and Ronaldo Thibes On the Batalin, Fradkin, Fradkina, and Tyutin quantization of first order systems . . . . . . . . . . . . . . . . 5306--5317 John L. Challifour and John P. Clancy A path space formula for Gauss vectors in Chern--Simons quantum electrodynamics 5318--5340 O. A. Chalykh and V. M. Goncharenko and A. P. Veselov Multidimensional integrable Schrödinger operators with matrix potential . . . . 5341--5355 Y. J. Feng and C. S. Lam Evaluation of multiloop diagrams via lightcone integration . . . . . . . . . 5356--5370 Mark D. Gould and Yao-Zhong Zhang Quasispin graded-fermion formalism and $\mathit{gl}(m|n) \downarrow \mathit{osp}(m|n)$ branching rules . . . 5371--5386 Martin Grothaus and Ludwig Streit Construction of relativistic quantum fields in the framework of white noise analysis . . . . . . . . . . . . . . . . 5387--5405 V. P. Gusynin and I. A. Shovkovy Derivative expansion of the effective action for quantum electrodynamics in $2 + 1$ and $3 + 1$ dimensions . . . . . . 5406--5439 Theodora Ioannidou and Paul M. Sutcliffe Monopoles and harmonic maps . . . . . . 5440--5455 A. Joye and F. Monti and S. Guérin and H. R. Jauslin Adiabatic evolution for systems with infinitely many eigenvalue crossings . . 5456--5472 Avinash Khare and Uday Sukhatme New solvable and quasiexactly solvable periodic potentials . . . . . . . . . . 5473--5494 Oliver Knill Random Schrödinger operators arising from lattice gauge fields. I. Existence and examples . . . . . . . . . . . . . . . . 5495--5510 Ken Loo Nonstandard Feynman path integral for the harmonic oscillator . . . . . . . . 5511--5521 Dionisios Margetis Bose--Einstein condensation in an external potential at zero temperature: Solitary-wave theory . . . . . . . . . . 5522--5543 Lajos Molnár A generalization of Wigner's unitary--antiunitary theorem to Hilbert modules . . . . . . . . . . . . . . . . 5544--5554 J. Morales and J. J. Peña Two new potentials for the free particle model . . . . . . . . . . . . . . . . . 5555--5564 Michele Pavon Derivation of the wave function collapse in the context of Nelson's stochastic mechanics . . . . . . . . . . . . . . . 5565--5577 Alexander Pushnitski Estimates for the spectral shift function of the polyharmonic operator 5578--5592 M. Reuter Symplectic Dirac--Kähler fields . . . . . 5593--5640 Haru-Tada Sato World-line Green functions with momentum and source conservations . . . . . . . . 5641--5656 K. Savvidou The action operator for continuous-time histories . . . . . . . . . . . . . . . 5657--5674 R. J. Yáñez and W. Van Assche and R. González-Férez and Jesús S. Dehesa Entropic integrals of hyperspherical harmonics and spatial entropy of $D$-dimensional central potentials . . . 5675--5686 J. Ambjòrn and A. Avakyan and T. Hakobyan and A. Sedrakyan Bethe Ansatz and thermodynamic limit of affine quantum group invariant extensions of the $t$ -- $J$ model . . . 5687--5701 Andrew Lesniewski and Mary Beth Ruskai Monotone Riemannian metrics and relative entropy on noncommutative probability spaces . . . . . . . . . . . . . . . . . 5702--5724 Maciej B\laszak Theory of separability of multi-Hamiltonian chains . . . . . . . . 5725--5748 Pilar R. Gordoa and Andrew Pickering Nonisospectral scattering problems: A key to integrable hierarchies . . . . . 5749--5786 Kanehisa Takasaki Elliptic Calogero--Moser systems and isomonodromic deformations . . . . . . . 5787--5821 J. F. van Diejen A Sato formula for reflectionless finite difference operators . . . . . . . . . . 5822--5834 Anna Germinario and Fabio Giannoni Existence and multiplicity results for massive particles trajectories in a universe with boundary . . . . . . . . . 5835--5848 B. V. Ivanov Algebraically special, expanding and twisting gravitational fields with vanishing Newman--Unti--Tamburino parameter . . . . . . . . . . . . . . . 5849--5859 John R. Klauder Noncanonical quantization of gravity. I. Foundations of affine quantum gravity 5860--5882 Asghar Qadir and Azad A. Siddiqui ${K}$ slicing the Schwarzschild and the Reissner--Nordstrom spacetimes . . . . . 5883--5889 Gerd Rudolph and Torsten Tok and Igor Volobuev Exact solutions in Einstein--Yang--Mills--Dirac systems . . 5890--5904 G. E. Sneddon The identities of the algebraic invariants of the four-dimensional Riemann tensor. III . . . . . . . . . . 5905--5920 N. Aizawa Symplecton for $\mathcal{U}_h(\mathit{sl}(2))$ and representations of $\mathit{SL}_h(2)$ 5921--5938 Sigitas Ali\vsauskas Towards the canonical tensor operators of $u_q(3)$. II. The denominator function problem . . . . . . . . . . . . 5939--5955 J.-P. Antoine and I. Mahara Galilean wavelets: Coherent states of the affine Galilei group . . . . . . . . 5956--5971 Giovanna Carnovale On the braided Fourier transform on the $n$-dimensional quantum space . . . . . 5972--5997 Salih Çelik and Sultan A. Çelik Two-parameter differential calculus on the $h$-superplane . . . . . . . . . . . 5998--6008 C. Chryssomalakos and J. A. de Azcárraga and A. J. Macfarlane and J. C. Pérez Bueno Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras . . . . . . . . . . . . . . . . 6009--6032 Robert L. Karp and Freydoon Mansouri and Jung S. Rno Product integral formalism and non-Abelian Stokes theorem . . . . . . . 6033--6043 H. Kleinert and A. Chervyakov Functional determinants from Wronski Green functions . . . . . . . . . . . . 6044--6051 M. Lagraa and N. Touhami The inhomogeneous quantum groups from differential calculi with classical dimension . . . . . . . . . . . . . . . 6052--6070 Wen-Xiu Ma and Xing-Biao Hu and Si-Ming Zhu and Yong-Tang Wu Bäcklund transformation and its superposition principle of a Blaszak--Marciniak four-field lattice 6071--6086 Joe Repka and Hubert de Guise Some finite dimensional indecomposable representations of $E$ (2) . . . . . . . 6087--6109 Yao-Zhong Zhang Level-one representations and vertex operators of quantum affine superalgebra $\mathit{U}_q[\mathit{gl}(\hat{N}|N)]$ 6110--6124 F. Brau Erratum: ``Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation'', [J. Math. Phys. \bf 40, 1119 (1999)] . . . . . . . 6125--6125 Osvaldo M. Moreschi and Sergio Dain Erratum: ``Rest frame system for asymptotically flat space--times'', [J. Math. Phys. \bf 39, 6631 (1998)] . . . . 6126--6127
E. Balo\"\itcha and M. N. Hounkonnou Quantum description of rigidly or adiabatically constrained four-particle systems and supersymmetry . . . . . . . 6133--6144 Aleksander Dzieciol and Staffan Yngve and Per Olof Fröman Coulomb wave functions with complex values of the variable and the parameters . . . . . . . . . . . . . . . 6145--6166 Aleksander Dzieciol and Staffan Yngve and Per Olof Fröman Phase-integral formulas for Coulomb wave functions with complex values of the variable and the parameters . . . . . . 6167--6177 J. P. Garrahan and M. Kruczenski Collective dynamics of solitons and inequivalent quantizations . . . . . . . 6178--6188 B. Geyer and P. M. Lavrov and D. Mülsch The osp(1,2)-covariant Lagrangian quantization of reducible massive gauge theories . . . . . . . . . . . . . . . . 6189--6208 Fumio Hiroshima Ground states of a model in nonrelativistic quantum electrodynamics. I . . . . . . . . . . . . . . . . . . . 6209--6222 T. Ioannidou and B. Piette and W. J. Zakrzewski Spherically symmetric solutions of the $\mathit{SU}(N)$ Skyrme models . . . . . 6223--6233 Christian D. Jäkel Two algebraic properties of thermal quantum field theories . . . . . . . . . 6234--6244 V. Alan Kostelecký and Charles D. Lane Nonrelativistic quantum Hamiltonian for Lorentz violation . . . . . . . . . . . 6245--6253 G. Lambiase and V. V. Nesterenko and M. Bordag Casimir energy of a ball and cylinder in the zeta function technique . . . . . . 6254--6265 V. B. Mandelzweig Quasilinearization method and its verification on exactly solvable models in quantum mechanics . . . . . . . . . . 6266--6291 Y\=uji Ohta Picard--Fuchs equations and Whitham hierarchy in $N = 2$ supersymmetric $\mathit{SU}(r + 1)$ Yang--Mills theory 6292--6301 Bill Poirier Wigner--Weyl correspondence and semiclassical quantization in spherical coordinates . . . . . . . . . . . . . . 6302--6318 Renat Zhdanov and Alexander Zhalij On separable Schrödinger equations . . . 6319--6338 L. Gavrilov and A. M. Perelomov On the explicit solutions of the elliptic Calogero system . . . . . . . . 6339--6352 T. Ioannidou and B. Piette and W. J. Zakrzewski SU( $N$ ) skyrmions and harmonic maps 6353--6365 Stefan Rauch-Wojciechowski and Krzysztof Marciniak and Hans Lundmark Quasi-Lagrangian systems of Newton equations . . . . . . . . . . . . . . . 6366--6398 Guy Boillat and Tommaso Ruggeri Relativistic gas: Moment equations and maximum wave velocity . . . . . . . . . 6399--6406 Haru-Tada Sato Integral representations of thermodynamic 1PI Green's functions in the world-line formalism . . . . . . . . 6407--6429 G. Gallavotti and G. Gentile and V. Mastropietro A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems . . . . . . . . . . . . 6430--6472 Metin Gürses and Atalay Karasu and Vladimir V. Sokolov On construction of recursion operators from Lax representation . . . . . . . . 6473--6490 Sen-yue Lou and Li-Li Chen Formal variable separation approach for nonintegrable models . . . . . . . . . . 6491--6500 R. Willox and I. Loris KP constraints from reduced multi-component hierarchies . . . . . . 6501--6525 Yunbo Zeng and Wen-Xiu Ma Separation of variables for soliton equations via their binary constrained flows . . . . . . . . . . . . . . . . . 6526--6557 V. D. Ivashchuk and V. N. Melnikov Cosmological and spherically symmetric solutions with intersecting $p$-branes 6558--6576 Teparksorn Pengpan Kostant's cubic Dirac operator of Lie superalgebras . . . . . . . . . . . . . 6577--6588 M. Rainer Cones and causal structures on topological and differentiable manifolds 6589--6597 R. Bikbov and S. Nechaev On the limiting power of the set of knots generated by $1 + 1$- and $2 + 1$-braids . . . . . . . . . . . . . . . 6598--6608 H. Grosse and G. Reiter Graded differential geometry of graded matrix algebras . . . . . . . . . . . . 6609--6625 Gary G. Hoffman Even moments of a polymer chain distribution . . . . . . . . . . . . . . 6626--6637 John Palmer Zeros of the Jimbo, Miwa, Ueno tau function . . . . . . . . . . . . . . . . 6638--6681 Paolo Piccione and Daniel V. Tausk A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry . . . . . . . . 6682--6688 Hjalmar Rosengren Another proof of the triple sum formula for Wigner $9j$-symbols . . . . . . . . 6689--6691 J. Van der Jeugt and K. Srinivasa Rao Invariance groups of transformations of basic hypergeometric series . . . . . . 6692--6700 S. Varsaie Kählerian supermanifolds . . . . . . . . 6701--6706 Anupam Garg Erratum: ``Application of the discrete Wentzel--Kramers--Brillouin method to spin tunnelling'', [J. Math. Phys. \bf 39, 5166 (1998)] . . . . . . . . . . . . 6707--6707
Mark Byrd Erratum: ``Differential geometry on ${\rm SU}(3)$ with applications to three state systems'', [J. Math. Phys. 39, 6125--6136 (1998)] . . . . . . . . . . . 1026--1030
Thomas P. Branson and Peter B. Gilkey and Dmitri V. Vassilevich Erratum: ``Vacuum expectation value asymptotics for second-order differential operators on manifolds with boundary'', [J. Math. Phys. \bf 39, 1040 (1998)] . . . . . . . . . . . . . . . . 3301--3301 K. N. Raghavan and P. Sankaran Erratum: ``On Verma bases for representations of $\mathit{sl}(n,\mathbb{C})$'', [J. Math. Phys. 40, 2190 (1999)] . . . . . . . . . 3302--3302 M. Rainer Erratum: ``Cones and causal structures on topological and differentiable manifolds'', [J. Math. Phys. \bf 40, 6589 (1999)] . . . . . . . . . . . . . . 3303--3303
A. W. Sáenz Erratum: ``Lie-series approach to the evolution of resonant and nonresonant anharmonic oscillators in quantum mechanics'', [J. Math. Phys. \bf 39, 1887 (1998)] . . . . . . . . . . . . . . 5135--5135
J. H. Hannay Comment on ``Method of handling the divergences in the radiation theory of sources that move faster than their waves'', [J. Math. Phys. \bf 40, 4331 (1999)] . . . . . . . . . . . . . . . . 3973--3974 R. A. Krikorian Comment on ``Uncertainty principle for proper time and mass'', [J. Math. Phys \bf 40, 1237 (1999)] . . . . . . . . . . 3975--3977 Shoju Kudaka and Shuichi Matsumoto Response to ``Comment on `Uncertainty principle for proper time and mass'\,'', [J. Math. Phys. \bf 42, 3975 (2001)] . . 3978--3979
V. D. Ivashchuk and S.-W. Kim and V. N. Melnikov Erratum: ``Hyperbolic Kac--Moody algebra from intersecting $p$-branes'', [J. Math. Phys. 40, 4072 (1999)] . . . . . . 5493--5493
V. Aldaya and J. Guerrero Erratum: ``Canonical coherent states for the relativistic harmonic oscillator'', [J. Math. Phys. \bf 36, 3191 (1995)] . . 5456--5456
K. Chadan and R. Kobayashi Erratum: ``A sufficient condition for the existence of bound states in a potential'', [J. Math. Phys. \bf 38, 4900 (1997)] . . . . . . . . . . . . . . 2987--2987
Shun Zhang Comment on ``On tractability of path integration'', [J. Math. Phys. \bf 37, 2071 (1996)] . . . . . . . . . . . . . . 024101