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Volume 41, Issue 2

February 2000

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 fields in nonstatic background: A histories perspective

C. Anastopoulos

J. Math. Phys. 41, 617–637 (2000) https://doi.org/10.1063/1.533155

Abstract

View articletitled, Quantum fields in nonstatic background: A histories perspective

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On the concept of Einstein–Podolsky–Rosen states and their structure

Richard Arens; V. S. Varadarajan

J. Math. Phys. 41, 638–651 (2000) https://doi.org/10.1063/1.533156

Abstract

View articletitled, On the concept of Einstein–Podolsky–Rosen states and their structure

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Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map

C. Daskaloyannis; K. Kanakoglou; I. Tsohantjis

J. Math. Phys. 41, 652–660 (2000) https://doi.org/10.1063/1.533157

Abstract

View articletitled, Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map

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Ground states of a model in nonrelativistic quantum electrodynamics. II

Fumio Hiroshima

J. Math. Phys. 41, 661–674 (2000) https://doi.org/10.1063/1.533158

Abstract

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

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Isospectral deformation of some shape invariant potentials

M. A. Jafarizadeh; A. R. Esfandyari; H. Panahi-Talemi

J. Math. Phys. 41, 675–700 (2000) https://doi.org/10.1063/1.533159

Abstract

View articletitled, Isospectral deformation of some shape invariant potentials

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Calculation of the level splitting of energy and the decay rate of some one-dimensional potentials by instantons method

M. A. Jafarizadeh; S. Jalalzadeh

J. Math. Phys. 41, 701–720 (2000) https://doi.org/10.1063/1.533160

Abstract

View articletitled, Calculation of the level splitting of energy and the decay rate of some one-dimensional potentials by instantons method

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Construction of quasi-two- and higher-dimensional quantum integrable models

Anjan Kundu

J. Math. Phys. 41, 721–727 (2000) https://doi.org/10.1063/1.533161

Abstract

View articletitled, Construction of quasi-two- and higher-dimensional quantum integrable models

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On 2D Euler equations. I. On the energy–Casimir stabilities and the spectra for linearized 2D Euler equations

Yanguang (Charles) Li

J. Math. Phys. 41, 728–758 (2000) https://doi.org/10.1063/1.533176

Abstract

View articletitled, On 2D Euler equations. I. On the energy–Casimir stabilities and the spectra for linearized 2D Euler equations

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Quantum interaction ${:φ}_{4}^{4} :,$ the construction of quantum field defined as a bilinear form

Edward P. Osipov

J. Math. Phys. 41, 759–786 (2000) https://doi.org/10.1063/1.533162

Abstract

View articletitled, Quantum interaction <math xmlns="http://www.w3.org/1998/Math/MathML"><msubsup xmlns=""><mi>:φ</mi><mrow><mn>4</mn></mrow><mrow><mn>4</mn></mrow></msubsup><mi xmlns="">:,</mi></math> the construction of quantum field defined as a bilinear form

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Cluster expansion for $P {(φ)}_{2} :$ explicit estimates

E. Prodan

J. Math. Phys. 41, 787–804 (2000) https://doi.org/10.1063/1.533178

Abstract

View articletitled, Cluster expansion for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="script" xmlns="">P</mi><msub xmlns=""><mi>(φ)</mi><mrow><mn>2</mn></mrow></msub><mi xmlns="">:</mi></math> explicit estimates

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CLASSICAL MECHANICS AND CLASSICAL FIELDS

An approach to Mel’nikov theory in celestial mechanics

G. Cicogna; M. Santoprete

J. Math. Phys. 41, 805–815 (2000) https://doi.org/10.1063/1.533163

Abstract

View articletitled, An approach to Mel’nikov theory in celestial mechanics

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Monopole Skyrmions

B. Kleihaus; D. H. Tchrakian; F. Zimmerschied

J. Math. Phys. 41, 816–834 (2000) https://doi.org/10.1063/1.533164

Abstract

View articletitled, Monopole Skyrmions

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On the geodesic form of second-order dynamic equations

L. Mangiarotti; G. Sardanashvily

J. Math. Phys. 41, 835–844 (2000) https://doi.org/10.1063/1.533165

Abstract

View articletitled, On the geodesic form of second-order dynamic equations

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A new procedure for specifying nonradiating current distributions and the fields they produce

Edwin A. Marengo; Richard W. Ziolkowski

J. Math. Phys. 41, 845–866 (2000) https://doi.org/10.1063/1.533166

Abstract

View articletitled, A new procedure for specifying nonradiating current distributions and the fields they produce

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STATISTICAL PHYSICS AND STOCHASTIC PROCESSES

Convergence of $P_{N}$ approximation for the neutron transport equation with reflective boundary condition

Guang-wei Yuan

J. Math. Phys. 41, 867–874 (2000) https://doi.org/10.1063/1.533167

Abstract

View articletitled, Convergence of <math xmlns="http://www.w3.org/1998/Math/MathML"><msub xmlns=""><mi>P</mi><mrow><mi>N</mi></mrow></msub></math> approximation for the neutron transport equation with reflective boundary condition

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DYNAMICAL SYSTEMS AND FLUID DYNAMICS

Lie–Poisson structure for the homogeneous motion of self-gravitating compressible fluids

A. San Miguel

J. Math. Phys. 41, 875–881 (2000) https://doi.org/10.1063/1.533168

Abstract

View articletitled, Lie–Poisson structure for the homogeneous motion of self-gravitating compressible fluids

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RELATIVITY AND GRAVITATION

Gravoelectric dual of the Kerr solution

Naresh Dadhich; L. K. Patel

J. Math. Phys. 41, 882–890 (2000) https://doi.org/10.1063/1.533177

Abstract

View articletitled, Gravoelectric dual of the Kerr solution

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Polyakov conjecture on the supertorus

M. Kachkachi; O. Dafounansou; M. Nazah

J. Math. Phys. 41, 891–897 (2000) https://doi.org/10.1063/1.533169

Abstract

View articletitled, Polyakov conjecture on the supertorus

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On Killing vector fields and Newman–Penrose constants

Juan Antonio Valiente Kroon

J. Math. Phys. 41, 898–923 (2000) https://doi.org/10.1063/1.533170

Abstract

View articletitled, On Killing vector fields and Newman–Penrose constants

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MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

Semiclassical limits of extended Racah coefficients

Stefan Davids

J. Math. Phys. 41, 924–943 (2000) https://doi.org/10.1063/1.533171

Abstract

View articletitled, Semiclassical limits of extended Racah coefficients

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Transformations of quadrilateral lattices

Adam Doliwa; Paolo Maria Santini; Manuel Mañas

J. Math. Phys. 41, 944–990 (2000) https://doi.org/10.1063/1.533175

Abstract

View articletitled, Transformations of quadrilateral lattices

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Multiplicity, invariants and tensor product decompositions of tame representations of U(∞)

R. Michael Howe; Tuong Ton-That

J. Math. Phys. 41, 991–1015 (2000) https://doi.org/10.1063/1.533172

Abstract

View articletitled, Multiplicity, invariants and tensor product decompositions of tame representations of U(∞)

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Hypergeometric functions and moduli spaces of null-correlation bundles

Takashi Nitta; Tadashi Taniguchi

J. Math. Phys. 41, 1016–1025 (2000) https://doi.org/10.1063/1.533173

Abstract

View articletitled, Hypergeometric functions and moduli spaces of null-correlation bundles

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COMMENTS AND ERRATA

Erratum: “Differential geometry on SU(3) with applications to three state systems” [J. Math. Phys. 39, 6125–6136 (1998)]

Mark Byrd

J. Math. Phys. 41, 1026–1030 (2000) https://doi.org/10.1063/1.533174

Abstract

View articletitled, Erratum: “Differential geometry on SU(3) with applications to three state systems” [J. Math. Phys. 39, 6125–6136 (1998)]

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QUANTUM PHYSICS; PARTICLES AND FIELDS

Quantum fields in nonstatic background: A histories perspective

On the concept of Einstein–Podolsky–Rosen states and their structure

Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map

Ground states of a model in nonrelativistic quantum electrodynamics. II

Isospectral deformation of some shape invariant potentials

Calculation of the level splitting of energy and the decay rate of some one-dimensional potentials by instantons method

Construction of quasi-two- and higher-dimensional quantum integrable models

On 2D Euler equations. I. On the energy–Casimir stabilities and the spectra for linearized 2D Euler equations

Quantum interaction ${:φ}_{4}^{4} :,$ the construction of quantum field defined as a bilinear form

Cluster expansion for $P {(φ)}_{2} :$ explicit estimates

CLASSICAL MECHANICS AND CLASSICAL FIELDS

An approach to Mel’nikov theory in celestial mechanics

Monopole Skyrmions

On the geodesic form of second-order dynamic equations

A new procedure for specifying nonradiating current distributions and the fields they produce

STATISTICAL PHYSICS AND STOCHASTIC PROCESSES

Convergence of $P_{N}$ approximation for the neutron transport equation with reflective boundary condition

DYNAMICAL SYSTEMS AND FLUID DYNAMICS

Lie–Poisson structure for the homogeneous motion of self-gravitating compressible fluids

RELATIVITY AND GRAVITATION

Gravoelectric dual of the Kerr solution

Polyakov conjecture on the supertorus

On Killing vector fields and Newman–Penrose constants

MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

Semiclassical limits of extended Racah coefficients

Transformations of quadrilateral lattices

Multiplicity, invariants and tensor product decompositions of tame representations of U(∞)

Hypergeometric functions and moduli spaces of null-correlation bundles

COMMENTS AND ERRATA

Erratum: “Differential geometry on SU(3) with applications to three state systems” [J. Math. Phys. 39, 6125–6136 (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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Resources

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