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Volume 40, Issue 12

December 1999

All Issues

ISSN 0022-2488

EISSN 1089-7658

In this Issue

QUANTUM PHYSICS; PARTICLES AND FIELDS
CLASSICAL MECHANICS AND CLASSICAL FIELDS
STATISTICAL PHYSICS AND STOCHASTIC PROCESSES
DYNAMICAL SYSTEMS AND FLUID DYNAMICS
RELATIVITY AND GRAVITATION
MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS
COMMENTS AND ERRATA

QUANTUM PHYSICS; PARTICLES AND FIELDS

Quantum description of rigidly or adiabatically constrained four-particle systems and supersymmetry

E. Baloı̈tcha; M. N. Hounkonnou

J. Math. Phys. 40, 6133–6144 (1999) https://doi.org/10.1063/1.533082

Abstract

View articletitled, Quantum description of rigidly or adiabatically constrained four-particle systems and supersymmetry

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Coulomb wave functions with complex values of the variable and the parameters

Aleksander Dzieciol; Staffan Yngve; Per Olof Fröman

J. Math. Phys. 40, 6145–6166 (1999) https://doi.org/10.1063/1.533083

Abstract

View articletitled, Coulomb wave functions with complex values of the variable and the parameters

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Phase-integral formulas for Coulomb wave functions with complex values of the variable and the parameters

Aleksander Dzieciol; Staffan Yngve; Per Olof Fröman

J. Math. Phys. 40, 6167–6177 (1999) https://doi.org/10.1063/1.533084

Abstract

View articletitled, Phase-integral formulas for Coulomb wave functions with complex values of the variable and the parameters

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Collective dynamics of solitons and inequivalent quantizations

J. P. Garrahan; M. Kruczenski

J. Math. Phys. 40, 6178–6188 (1999) https://doi.org/10.1063/1.533085

Abstract

View articletitled, Collective dynamics of solitons and inequivalent quantizations

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The osp(1,2)-covariant Lagrangian quantization of reducible massive gauge theories

B. Geyer; P. M. Lavrov; D. Mülsch

J. Math. Phys. 40, 6189–6208 (1999) https://doi.org/10.1063/1.533086

Abstract

View articletitled, The osp(1,2)-covariant Lagrangian quantization of reducible massive gauge theories

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Ground states of a model in nonrelativistic quantum electrodynamics. I

Fumio Hiroshima

J. Math. Phys. 40, 6209–6222 (1999) https://doi.org/10.1063/1.533087

Abstract

View articletitled, Ground states of a model in nonrelativistic quantum electrodynamics. I

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Spherically symmetric solutions of the $SU (N)$ Skyrme models

T. Ioannidou; B. Piette; W. J. Zakrzewski

J. Math. Phys. 40, 6223–6233 (1999) https://doi.org/10.1063/1.533088

Abstract

View articletitled, Spherically symmetric solutions of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal" xmlns="">SU</mi><mi xmlns="">(N)</mi></math> Skyrme models

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Two algebraic properties of thermal quantum field theories

Christian D. Jäkel

J. Math. Phys. 40, 6234–6244 (1999) https://doi.org/10.1063/1.533089

Abstract

View articletitled, Two algebraic properties of thermal quantum field theories

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Nonrelativistic quantum Hamiltonian for Lorentz violation

V. Alan Kostelecký; Charles D. Lane

J. Math. Phys. 40, 6245–6253 (1999) https://doi.org/10.1063/1.533090

Abstract

View articletitled, Nonrelativistic quantum Hamiltonian for Lorentz violation

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Casimir energy of a ball and cylinder in the zeta function technique

G. Lambiase; V. V. Nesterenko; M. Bordag

J. Math. Phys. 40, 6254–6265 (1999) https://doi.org/10.1063/1.533091

Abstract

View articletitled, Casimir energy of a ball and cylinder in the zeta function technique

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Quasilinearization method and its verification on exactly solvable models in quantum mechanics

V. B. Mandelzweig

J. Math. Phys. 40, 6266–6291 (1999) https://doi.org/10.1063/1.533092

Abstract

View articletitled, Quasilinearization method and its verification on exactly solvable models in quantum mechanics

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Picard–Fuchs equations and Whitham hierarchy in $N=2$ supersymmetric $SU (r+1)$ Yang–Mills theory

Yűji Ohta

J. Math. Phys. 40, 6292–6301 (1999) https://doi.org/10.1063/1.533093

Abstract

View articletitled, Picard–Fuchs equations and Whitham hierarchy in <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext xmlns="">N=2</mtext></math> supersymmetric <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal" xmlns="">SU</mi><mtext xmlns="">(r+1)</mtext></math> Yang–Mills theory

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Wigner–Weyl correspondence and semiclassical quantization in spherical coordinates

Bill Poirier

J. Math. Phys. 40, 6302–6318 (1999) https://doi.org/10.1063/1.533094

Abstract

View articletitled, Wigner–Weyl correspondence and semiclassical quantization in spherical coordinates

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On separable Schrödinger equations

Renat Zhdanov; Alexander Zhalij

J. Math. Phys. 40, 6319–6338 (1999) https://doi.org/10.1063/1.533095

Abstract

View articletitled, On separable Schrödinger equations

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CLASSICAL MECHANICS AND CLASSICAL FIELDS

On the explicit solutions of the elliptic Calogero system

L. Gavrilov; A. M. Perelomov

J. Math. Phys. 40, 6339–6352 (1999) https://doi.org/10.1063/1.533096

Abstract

View articletitled, On the explicit solutions of the elliptic Calogero system

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SU(N) skyrmions and harmonic maps

T. Ioannidou; B. Piette; W. J. Zakrzewski

J. Math. Phys. 40, 6353–6365 (1999) https://doi.org/10.1063/1.533097

Abstract

View articletitled, SU(N) skyrmions and harmonic maps

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Quasi-Lagrangian systems of Newton equations

Stefan Rauch-Wojciechowski; Krzysztof Marciniak; Hans Lundmark

J. Math. Phys. 40, 6366–6398 (1999) https://doi.org/10.1063/1.533098

Abstract

View articletitled, Quasi-Lagrangian systems of Newton equations

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STATISTICAL PHYSICS AND STOCHASTIC PROCESSES

Relativistic gas: Moment equations and maximum wave velocity

Guy Boillat; Tommaso Ruggeri

J. Math. Phys. 40, 6399–6406 (1999) https://doi.org/10.1063/1.533099

Abstract

View articletitled, Relativistic gas: Moment equations and maximum wave velocity

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Integral representations of thermodynamic 1PI Green’s functions in the world-line formalism

Haru-Tada Sato

J. Math. Phys. 40, 6407–6429 (1999) https://doi.org/10.1063/1.533100

Abstract

View articletitled, Integral representations of thermodynamic 1PI Green’s functions in the world-line formalism

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DYNAMICAL SYSTEMS AND FLUID DYNAMICS

A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems

G. Gallavotti; G. Gentile; V. Mastropietro

J. Math. Phys. 40, 6430–6472 (1999) https://doi.org/10.1063/1.533101

Abstract

View articletitled, A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems

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On construction of recursion operators from Lax representation

Metin Gürses; Atalay Karasu; Vladimir V. Sokolov

J. Math. Phys. 40, 6473–6490 (1999) https://doi.org/10.1063/1.533102

Abstract

View articletitled, On construction of recursion operators from Lax representation

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Formal variable separation approach for nonintegrable models

Sen-yue Lou; Li-Li Chen

J. Math. Phys. 40, 6491–6500 (1999) https://doi.org/10.1063/1.533103

Abstract

View articletitled, Formal variable separation approach for nonintegrable models

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KP constraints from reduced multi-component hierarchies

R. Willox; I. Loris

J. Math. Phys. 40, 6501–6525 (1999) https://doi.org/10.1063/1.533104

Abstract

View articletitled, KP constraints from reduced multi-component hierarchies

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Separation of variables for soliton equations via their binary constrained flows

Yunbo Zeng; Wen-Xiu Ma

J. Math. Phys. 40, 6526–6557 (1999) https://doi.org/10.1063/1.533105

Abstract

View articletitled, Separation of variables for soliton equations via their binary constrained flows

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RELATIVITY AND GRAVITATION

Cosmological and spherically symmetric solutions with intersecting p-branes

V. D. Ivashchuk; V. N. Melnikov

J. Math. Phys. 40, 6558–6576 (1999) https://doi.org/10.1063/1.533106

Abstract

View articletitled, Cosmological and spherically symmetric solutions with intersecting p-branes

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Kostant’s cubic Dirac operator of Lie superalgebras

Teparksorn Pengpan

J. Math. Phys. 40, 6577–6588 (1999) https://doi.org/10.1063/1.533107

Abstract

View articletitled, Kostant’s cubic Dirac operator of Lie superalgebras

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Cones and causal structures on topological and differentiable manifolds

M. Rainer

J. Math. Phys. 40, 6589–6597 (1999) https://doi.org/10.1063/1.533108

Abstract

View articletitled, Cones and causal structures on topological and differentiable manifolds

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MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

On the limiting power of the set of knots generated by $1+1$ - and $2+1$ -braids

R. Bikbov; S. Nechaev

J. Math. Phys. 40, 6598–6608 (1999) https://doi.org/10.1063/1.533109

Abstract

View articletitled, On the limiting power of the set of knots generated by <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext xmlns="">1+1</mtext></math>- and <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext xmlns="">2+1</mtext></math>-braids

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Graded differential geometry of graded matrix algebras

H. Grosse; G. Reiter

J. Math. Phys. 40, 6609–6625 (1999) https://doi.org/10.1063/1.533110

Abstract

View articletitled, Graded differential geometry of graded matrix algebras

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Even moments of a polymer chain distribution

Gary G. Hoffman

J. Math. Phys. 40, 6626–6637 (1999) https://doi.org/10.1063/1.533111

Abstract

View articletitled, Even moments of a polymer chain distribution

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Zeros of the Jimbo, Miwa, Ueno tau function

John Palmer

J. Math. Phys. 40, 6638–6681 (1999) https://doi.org/10.1063/1.533112

Abstract

View articletitled, Zeros of the Jimbo, Miwa, Ueno tau function

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A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry

Paolo Piccione; Daniel V. Tausk

J. Math. Phys. 40, 6682–6688 (1999) https://doi.org/10.1063/1.533113

Abstract

View articletitled, A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry

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Another proof of the triple sum formula for Wigner $9j$ -symbols

Hjalmar Rosengren

J. Math. Phys. 40, 6689–6691 (1999) https://doi.org/10.1063/1.533114

Abstract

View articletitled, Another proof of the triple sum formula for Wigner <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext xmlns="">9j</mtext></math>-symbols

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Invariance groups of transformations of basic hypergeometric series

J. Van der Jeugt; K. Srinivasa Rao

J. Math. Phys. 40, 6692–6700 (1999) https://doi.org/10.1063/1.533115

Abstract

View articletitled, Invariance groups of transformations of basic hypergeometric series

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Kählerian supermanifolds

S. Varsaie

J. Math. Phys. 40, 6701–6706 (1999) https://doi.org/10.1063/1.533116

Abstract

View articletitled, Kählerian supermanifolds

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COMMENTS AND ERRATA

Erratum: “Application of the discrete Wentzel–Kramers–Brillouin method to spin tunnelling” [J. Math. Phys. 39, 5166 (1998)]

Anupam Garg

J. Math. Phys. 40, 6707 (1999) https://doi.org/10.1063/1.533117

Abstract

View articletitled, Erratum: “Application of the discrete Wentzel–Kramers–Brillouin method to spin tunnelling” [J. Math. Phys. 39, 5166 (1998)]

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Issues

QUANTUM PHYSICS; PARTICLES AND FIELDS

CLASSICAL MECHANICS AND CLASSICAL FIELDS

STATISTICAL PHYSICS AND STOCHASTIC PROCESSES

DYNAMICAL SYSTEMS AND FLUID DYNAMICS

RELATIVITY AND GRAVITATION

MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

COMMENTS AND ERRATA

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