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Volume 42, Issue 2

February 2001

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

On solvable potentials related to SO(2,2)

S. A. Baran; A. Dalgic; G. A. Kerimov

J. Math. Phys. 42, 543–561 (2001) https://doi.org/10.1063/1.1336512

Abstract

View articletitled, On solvable potentials related to SO(2,2)

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Ground state energy of massive scalar field inside a spherical region in the global monopole background

E. R. Bezerra de Mello; V. B. Bezerra; N. R. Khusnutdinov

J. Math. Phys. 42, 562–581 (2001) https://doi.org/10.1063/1.1333699

Abstract

View articletitled, Ground state energy of massive scalar field inside a spherical region in the global monopole background

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Maximal subalgebras of vector fields for equivariant quantizations

F. Boniver; P. Mathonet

J. Math. Phys. 42, 582–589 (2001) https://doi.org/10.1063/1.1332782

Abstract

View articletitled, Maximal subalgebras of vector fields for equivariant quantizations

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Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces

E. V. Ferapontov; A. P. Veselov

J. Math. Phys. 42, 590–607 (2001) https://doi.org/10.1063/1.1334903

Abstract

View articletitled, Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces

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Borel summable solutions to one-dimensional Schrödinger equation

Stefan Giller; Piotr Milczarski

J. Math. Phys. 42, 608–640 (2001) https://doi.org/10.1063/1.1331099

Abstract

View articletitled, Borel summable solutions to one-dimensional Schrödinger equation

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Quantization of solitons in coset space

J. Manjavidze; A. Sissakian

J. Math. Phys. 42, 641–658 (2001) https://doi.org/10.1063/1.1337613

Abstract

View articletitled, Quantization of solitons in coset space

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Superintegrable systems in quantum mechanics and classical Lie theory

M. B. Sheftel; P. Tempesta; P. Winternitz

J. Math. Phys. 42, 659–673 (2001) https://doi.org/10.1063/1.1337798

Abstract

View articletitled, Superintegrable systems in quantum mechanics and classical Lie theory

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Three formulas for the off-diagonal density matrix of a dirac spinor, with an application

A. S. Wightman

J. Math. Phys. 42, 674–685 (2001) https://doi.org/10.1063/1.1332784

Abstract

View articletitled, Three formulas for the off-diagonal density matrix of a dirac spinor, with an application

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CLASSICAL MECHANICS AND CLASSICAL FIELDS

An expansion of general validity for the diffusive parameters of a charged particle in a zero-point field

M. Battezzati

J. Math. Phys. 42, 686–697 (2001) https://doi.org/10.1063/1.1337615

Abstract

View articletitled, An expansion of general validity for the diffusive parameters of a charged particle in a zero-point field

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Computation of Lie transfer maps for perturbed Hamiltonian systems

Liam M. Healy

J. Math. Phys. 42, 698–712 (2001) https://doi.org/10.1063/1.1331563

Abstract

View articletitled, Computation of Lie transfer maps for perturbed Hamiltonian systems

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Exactly calculable field components of electric dipoles in planar boundary

Dionisios Margetis; Tai Tsun Wu

J. Math. Phys. 42, 713–745 (2001) https://doi.org/10.1063/1.1330731

Abstract

View articletitled, Exactly calculable field components of electric dipoles in planar boundary

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The harmony in the Kepler and related problems

M. C. Nucci; P. G. L. Leach

J. Math. Phys. 42, 746–764 (2001) https://doi.org/10.1063/1.1337614

Abstract

View articletitled, The harmony in the Kepler and related problems

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STATISTICAL PHYSICS AND STOCHASTIC PROCESSES

Thermodynamics of trapped interacting bosons in one dimension

Shi-Jian Gu; You-Quan Li; Zu-Jian Ying

J. Math. Phys. 42, 765–772 (2001) https://doi.org/10.1063/1.1331562

Abstract

View articletitled, Thermodynamics of trapped interacting bosons in one dimension

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DYNAMICAL SYSTEMS AND FLUID DYNAMICS

Logarithmic bounds for infinite Prandtl number rotating convection

Peter Constantin; Chris Hallstrom; Vachtang Poutkaradze

J. Math. Phys. 42, 773–783 (2001) https://doi.org/10.1063/1.1336156

View articletitled, Logarithmic bounds for infinite Prandtl number rotating convection

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On upper bounds for infinite Prandtl number convection with or without rotation

Charles R. Doering; Peter Constantin

J. Math. Phys. 42, 784–795 (2001) https://doi.org/10.1063/1.1336157

Abstract

View articletitled, On upper bounds for infinite Prandtl number convection with or without rotation

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The equivalence of the class of Rivlin–Sawyers equations and a class of stochastic models for polymer stress

Kathleen Feigl; Hans Christian Öttinger

J. Math. Phys. 42, 796–817 (2001) https://doi.org/10.1063/1.1332783

Abstract

View articletitled, The equivalence of the class of Rivlin–Sawyers equations and a class of stochastic models for polymer stress

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RELATIVITY AND GRAVITATION

The geometry of photon surfaces

Clarissa-Marie Claudel; K. S. Virbhadra; G. F. R. Ellis

J. Math. Phys. 42, 818–838 (2001) https://doi.org/10.1063/1.1308507

Abstract

View articletitled, The geometry of photon surfaces

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High order relativistic corrections to Keplerian motion

L. Fernández-Jambrina; C. Hoenselaers

J. Math. Phys. 42, 839–855 (2001) https://doi.org/10.1063/1.1335556

Abstract

View articletitled, High order relativistic corrections to Keplerian motion

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Acoustics of early universe—Lifshitz versus gauge-invariant theories

Zdzisław A. Golda; Andrzej Woszczyna

J. Math. Phys. 42, 856–862 (2001) https://doi.org/10.1063/1.1335557

Abstract

View articletitled, Acoustics of early universe—Lifshitz versus gauge-invariant theories

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Petrov type D Einstein space–times of embedding class two

D. E. Hodgkinson

J. Math. Phys. 42, 863–875 (2001) https://doi.org/10.1063/1.1332122

Abstract

View articletitled, Petrov type D Einstein space–times of embedding class two

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MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics

Jason Cantarella; Dennis DeTurck; Herman Gluck

J. Math. Phys. 42, 876–905 (2001) https://doi.org/10.1063/1.1329659

Abstract

View articletitled, The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics

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Finite conformal modules over $N=2,3,4$ superconformal algebras

Shun-Jen Cheng; Ngau Lam

J. Math. Phys. 42, 906–933 (2001) https://doi.org/10.1063/1.1333698

Abstract

View articletitled, Finite conformal modules over <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext xmlns="">N=2,3,4</mtext></math> superconformal algebras

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Braided coaddition on the quantized braided matrices

Ya-Jun Gao; Yuan-Xing Gui

J. Math. Phys. 42, 934–944 (2001) https://doi.org/10.1063/1.1326457

Abstract

View articletitled, Braided coaddition on the quantized braided matrices

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Bounded solutions of a second order evolution equation and applications

Hugo Leiva

J. Math. Phys. 42, 945–952 (2001) https://doi.org/10.1063/1.1312195

Abstract

View articletitled, Bounded solutions of a second order evolution equation and applications

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A mathematical proof of a result derived from the application of the Thompson–Lampard theorem of electrostatics

Daniel A. Morales

J. Math. Phys. 42, 953–965 (2001) https://doi.org/10.1063/1.1332123

Abstract

View articletitled, A mathematical proof of a result derived from the application of the Thompson–Lampard theorem of electrostatics

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Generalization of the Darboux transform

J. Morales; J. J. Peña; J. L. López-Bonilla

J. Math. Phys. 42, 966–975 (2001) https://doi.org/10.1063/1.1334904

Abstract

View articletitled, Generalization of the Darboux transform

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COMMENTS AND ERRATA

Erratum: “Structure and properties of Hughston’s stochastic extension of the Schrödinger equation” [J. Math. Phys. 41, 2485 (2000)]

Stephen L. Adler; Lawrence P. Horwitz

J. Math. Phys. 42, 976 (2001) https://doi.org/10.1063/1.1341234

View articletitled, Erratum: “Structure and properties of Hughston’s stochastic extension of the Schrödinger equation” [J. Math. Phys. 41, 2485 (2000)]

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Erratum: “On characteristic equations, trace identities and Casimir operators of simple Lie algebras” [J. Math. Phys. 41, 3192–3225 (2000)]

A. J. Macfarlane; Hendryk Pfeiffer

J. Math. Phys. 42, 977 (2001) https://doi.org/10.1063/1.1337797

View articletitled, Erratum: “On characteristic equations, trace identities and Casimir operators of simple Lie algebras” [J. Math. Phys. 41, 3192–3225 (2000)]

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Erratum: “A note on families of spin observables and a generalization of Wigner’s theorem in C²” [J. Math. Phys. 41, 7832 (2000)]

Norbert Poschadel

J. Math. Phys. 42, 978 (2001) https://doi.org/10.1063/1.1345676

View articletitled, Erratum: “A note on families of spin observables and a generalization of Wigner’s theorem in C2” [J. Math. Phys. 41, 7832 (2000)]

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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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