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QUANTUM PHYSICS; PARTICLES AND FIELDS

On the Schrödinger equation with steplike potentials

Tuncay Aktosun

J. Math. Phys. 40, 5289–5305 (1999) https://doi.org/10.1063/1.533032

Abstract

View articletitled, On the Schrödinger equation with steplike potentials

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On the Batalin, Fradkin, Fradkina, and Tyutin quantization of first order systems

Ricardo Amorim; Ronaldo Thibes

J. Math. Phys. 40, 5306–5317 (1999) https://doi.org/10.1063/1.533031

Abstract

View articletitled, On the Batalin, Fradkin, Fradkina, and Tyutin quantization of first order systems

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A path space formula for Gauss vectors in Chern–Simons quantum electrodynamics

John L. Challifour; John P. Clancy

J. Math. Phys. 40, 5318–5340 (1999) https://doi.org/10.1063/1.533033

Abstract

View articletitled, A path space formula for Gauss vectors in Chern–Simons quantum electrodynamics

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Multidimensional integrable Schrödinger operators with matrix potential

O. A. Chalykh; V. M. Goncharenko; A. P. Veselov

J. Math. Phys. 40, 5341–5355 (1999) https://doi.org/10.1063/1.533034

Abstract

View articletitled, Multidimensional integrable Schrödinger operators with matrix potential

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Evaluation of multiloop diagrams via lightcone integration

Y. J. Feng; C. S. Lam

J. Math. Phys. 40, 5356–5370 (1999) https://doi.org/10.1063/1.533035

Abstract

View articletitled, Evaluation of multiloop diagrams via lightcone integration

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Quasispin graded-fermion formalism and $gl(m|n)↓osp(m|n)$ branching rules

Mark D. Gould; Yao-Zhong Zhang

J. Math. Phys. 40, 5371–5386 (1999) https://doi.org/10.1063/1.533075

Abstract

View articletitled, Quasispin graded-fermion formalism and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">gl(m|n)↓osp(m|n)</mi></math> branching rules

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Construction of relativistic quantum fields in the framework of white noise analysis

Martin Grothaus; Ludwig Streit

J. Math. Phys. 40, 5387–5405 (1999) https://doi.org/10.1063/1.533036

Abstract

View articletitled, Construction of relativistic quantum fields in the framework of white noise analysis

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Derivative expansion of the effective action for quantum electrodynamics in 2+1 and 3+1 dimensions

V. P. Gusynin; I. A. Shovkovy

J. Math. Phys. 40, 5406–5439 (1999) https://doi.org/10.1063/1.533037

Abstract

View articletitled, Derivative expansion of the effective action for quantum electrodynamics in 2+1 and 3+1 dimensions

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Monopoles and harmonic maps

Theodora Ioannidou; Paul M. Sutcliffe

J. Math. Phys. 40, 5440–5455 (1999) https://doi.org/10.1063/1.533038

Abstract

View articletitled, Monopoles and harmonic maps

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Adiabatic evolution for systems with infinitely many eigenvalue crossings

A. Joye; F. Monti; S. Guérin; H. R. Jauslin

J. Math. Phys. 40, 5456–5472 (1999) https://doi.org/10.1063/1.533039

Abstract

View articletitled, Adiabatic evolution for systems with infinitely many eigenvalue crossings

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New solvable and quasiexactly solvable periodic potentials

Avinash Khare; Uday Sukhatme

J. Math. Phys. 40, 5473–5494 (1999) https://doi.org/10.1063/1.533040

Abstract

View articletitled, New solvable and quasiexactly solvable periodic potentials

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Random Schrödinger operators arising from lattice gauge fields. I. Existence and examples

Oliver Knill

J. Math. Phys. 40, 5495–5510 (1999) https://doi.org/10.1063/1.533041

Abstract

View articletitled, Random Schrödinger operators arising from lattice gauge fields. I. Existence and examples

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Nonstandard Feynman path integral for the harmonic oscillator

Ken Loo

J. Math. Phys. 40, 5511–5521 (1999) https://doi.org/10.1063/1.533042

Abstract

View articletitled, Nonstandard Feynman path integral for the harmonic oscillator

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Bose–Einstein condensation in an external potential at zero temperature: Solitary-wave theory

Dionisios Margetis

J. Math. Phys. 40, 5522–5543 (1999) https://doi.org/10.1063/1.533043

Abstract

View articletitled, Bose–Einstein condensation in an external potential at zero temperature: Solitary-wave theory

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A generalization of Wigner’s unitary–antiunitary theorem to Hilbert modules

Lajos Molnár

J. Math. Phys. 40, 5544–5554 (1999) https://doi.org/10.1063/1.533044

Abstract

View articletitled, A generalization of Wigner’s unitary–antiunitary theorem to Hilbert modules

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Two new potentials for the free particle model

J. Morales; J. J. Peña

J. Math. Phys. 40, 5555–5564 (1999) https://doi.org/10.1063/1.533045

Abstract

View articletitled, Two new potentials for the free particle model

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Derivation of the wave function collapse in the context of Nelson’s stochastic mechanics

Michele Pavon

J. Math. Phys. 40, 5565–5577 (1999) https://doi.org/10.1063/1.533046

Abstract

View articletitled, Derivation of the wave function collapse in the context of Nelson’s stochastic mechanics

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Estimates for the spectral shift function of the polyharmonic operator

Alexander Pushnitski

J. Math. Phys. 40, 5578–5592 (1999) https://doi.org/10.1063/1.533047

Abstract

View articletitled, Estimates for the spectral shift function of the polyharmonic operator

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Symplectic Dirac–Kähler fields

M. Reuter

J. Math. Phys. 40, 5593–5640 (1999) https://doi.org/10.1063/1.533048

Abstract

View articletitled, Symplectic Dirac–Kähler fields

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World-line Green functions with momentum and source conservations

Haru-Tada Sato

J. Math. Phys. 40, 5641–5656 (1999) https://doi.org/10.1063/1.533049

Abstract

View articletitled, World-line Green functions with momentum and source conservations

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The action operator for continuous-time histories

K. Savvidou

J. Math. Phys. 40, 5657–5674 (1999) https://doi.org/10.1063/1.533050

Abstract

View articletitled, The action operator for continuous-time histories

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Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials

R. J. Yáñez; W. Van Assche; R. González-Férez; Jesús S. Dehesa

J. Math. Phys. 40, 5675–5686 (1999) https://doi.org/10.1063/1.533051

Abstract

View articletitled, Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials

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STATISTICAL PHYSICS AND STOCHASTIC PROCESSES

Bethe Ansatz and thermodynamic limit of affine quantum group invariant extensions of the $t–J$ model

J. Ambjo/rn; A. Avakyan; T. Hakobyan; A. Sedrakyan

J. Math. Phys. 40, 5687–5701 (1999) https://doi.org/10.1063/1.533052

Abstract

View articletitled, Bethe Ansatz and thermodynamic limit of affine quantum group invariant extensions of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">t–J</mi></math> model

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Monotone Riemannian metrics and relative entropy on noncommutative probability spaces

Andrew Lesniewski; Mary Beth Ruskai

J. Math. Phys. 40, 5702–5724 (1999) https://doi.org/10.1063/1.533053

Abstract

View articletitled, Monotone Riemannian metrics and relative entropy on noncommutative probability spaces

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DYNAMICAL SYSTEMS AND FLUID DYNAMICS

Theory of separability of multi-Hamiltonian chains

Maciej Błaszak

J. Math. Phys. 40, 5725–5748 (1999) https://doi.org/10.1063/1.533054

Abstract

View articletitled, Theory of separability of multi-Hamiltonian chains

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Nonisospectral scattering problems: A key to integrable hierarchies

Pilar R. Gordoa; Andrew Pickering

J. Math. Phys. 40, 5749–5786 (1999) https://doi.org/10.1063/1.533055

Abstract

View articletitled, Nonisospectral scattering problems: A key to integrable hierarchies

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Elliptic Calogero–Moser systems and isomonodromic deformations

Kanehisa Takasaki

J. Math. Phys. 40, 5787–5821 (1999) https://doi.org/10.1063/1.533056

Abstract

View articletitled, Elliptic Calogero–Moser systems and isomonodromic deformations

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A Sato formula for reflectionless finite difference operators

J. F. van Diejen

J. Math. Phys. 40, 5822–5834 (1999) https://doi.org/10.1063/1.533057

Abstract

View articletitled, A Sato formula for reflectionless finite difference operators

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RELATIVITY AND GRAVITATION

Existence and multiplicity results for massive particles trajectories in a universe with boundary

Anna Germinario; Fabio Giannoni

J. Math. Phys. 40, 5835–5848 (1999) https://doi.org/10.1063/1.533058

Abstract

View articletitled, Existence and multiplicity results for massive particles trajectories in a universe with boundary

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Algebraically special, expanding and twisting gravitational fields with vanishing Newman–Unti–Tamburino parameter

B. V. Ivanov

J. Math. Phys. 40, 5849–5859 (1999) https://doi.org/10.1063/1.533079

Abstract

View articletitled, Algebraically special, expanding and twisting gravitational fields with vanishing Newman–Unti–Tamburino parameter

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Noncanonical quantization of gravity. I. Foundations of affine quantum gravity

John R. Klauder

J. Math. Phys. 40, 5860–5882 (1999) https://doi.org/10.1063/1.533059

Abstract

View articletitled, Noncanonical quantization of gravity. I. Foundations of affine quantum gravity

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K slicing the Schwarzschild and the Reissner–Nordstrom spacetimes

Asghar Qadir; Azad A. Siddiqui

J. Math. Phys. 40, 5883–5889 (1999) https://doi.org/10.1063/1.533060

Abstract

View articletitled, K slicing the Schwarzschild and the Reissner–Nordstrom spacetimes

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Exact solutions in Einstein–Yang–Mills–Dirac systems

Gerd Rudolph; Torsten Tok; Igor Volobuev

J. Math. Phys. 40, 5890–5904 (1999) https://doi.org/10.1063/1.533061

Abstract

View articletitled, Exact solutions in Einstein–Yang–Mills–Dirac systems

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The identities of the algebraic invariants of the four-dimensional Riemann tensor. III

G. E. Sneddon

J. Math. Phys. 40, 5905–5920 (1999) https://doi.org/10.1063/1.533062

Abstract

View articletitled, The identities of the algebraic invariants of the four-dimensional Riemann tensor. III

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MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

Symplecton for $U_{h} (sl(2))$ and representations of ${SL}_{h} (2)$

N. Aizawa

J. Math. Phys. 40, 5921–5938 (1999) https://doi.org/10.1063/1.533080

Abstract

View articletitled, Symplecton for <math xmlns="http://www.w3.org/1998/Math/MathML"><msub xmlns=""><mi mathvariant="script">U</mi><mrow><mi>h</mi></mrow></msub><mtext xmlns="">(sl(2))</mtext></math> and representations of <math xmlns="http://www.w3.org/1998/Math/MathML"><msub xmlns=""><mi>SL</mi><mrow><mi>h</mi></mrow></msub><mtext xmlns="">(2)</mtext></math>

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Towards the canonical tensor operators of $u_{q} (3).$ II. The denominator function problem

Sigitas Ališauskas

J. Math. Phys. 40, 5939–5955 (1999) https://doi.org/10.1063/1.533063

Abstract

View articletitled, Towards the canonical tensor operators of <math xmlns="http://www.w3.org/1998/Math/MathML"><msub xmlns=""><mi>u</mi><mrow><mi>q</mi></mrow></msub><mtext xmlns="">(3).</mtext></math> II. The denominator function problem

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Galilean wavelets: Coherent states of the affine Galilei group

J.-P. Antoine; I. Mahara

J. Math. Phys. 40, 5956–5971 (1999) https://doi.org/10.1063/1.533064

Abstract

View articletitled, Galilean wavelets: Coherent states of the affine Galilei group

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On the braided Fourier transform on the $n$ -dimensional quantum space

Giovanna Carnovale

J. Math. Phys. 40, 5972–5997 (1999) https://doi.org/10.1063/1.533065

Abstract

View articletitled, On the braided Fourier transform on the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">n</mi></math>-dimensional quantum space

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Two-parameter differential calculus on the h-superplane

Salih Çelik; Sultan A. Çelik

J. Math. Phys. 40, 5998–6008 (1999) https://doi.org/10.1063/1.533066

Abstract

View articletitled, Two-parameter differential calculus on the h-superplane

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Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras

C. Chryssomalakos; J. A. de Azcárraga; A. J. Macfarlane; J. C. Pérez Bueno

J. Math. Phys. 40, 6009–6032 (1999) https://doi.org/10.1063/1.533067

Abstract

View articletitled, Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras

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Product integral formalism and non-Abelian Stokes theorem

Robert L. Karp; Freydoon Mansouri; Jung S. Rno

J. Math. Phys. 40, 6033–6043 (1999) https://doi.org/10.1063/1.533068

Abstract

View articletitled, Product integral formalism and non-Abelian Stokes theorem

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Functional determinants from Wronski Green functions

H. Kleinert; A. Chervyakov

J. Math. Phys. 40, 6044–6051 (1999) https://doi.org/10.1063/1.533069

Abstract

View articletitled, Functional determinants from Wronski Green functions

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The inhomogeneous quantum groups from differential calculi with classical dimension

M. Lagraa; N. Touhami

J. Math. Phys. 40, 6052–6070 (1999) https://doi.org/10.1063/1.533070

Abstract

View articletitled, The inhomogeneous quantum groups from differential calculi with classical dimension

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Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

Wen-Xiu Ma; Xing-Biao Hu; Si-Ming Zhu; Yong-Tang Wu

J. Math. Phys. 40, 6071–6086 (1999) https://doi.org/10.1063/1.533071

Abstract

View articletitled, Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

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Some finite dimensional indecomposable representations of $E(2)$

Joe Repka; Hubert de Guise

J. Math. Phys. 40, 6087–6109 (1999) https://doi.org/10.1063/1.533072

Abstract

View articletitled, Some finite dimensional indecomposable representations of <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext xmlns="">E(2)</mtext></math>

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Level-one representations and vertex operators of quantum affine superalgebra $U_{q} [gl(N̂|N)]$

Yao-Zhong Zhang

J. Math. Phys. 40, 6110–6124 (1999) https://doi.org/10.1063/1.533073

Abstract

View articletitled, Level-one representations and vertex operators of quantum affine superalgebra <math xmlns="http://www.w3.org/1998/Math/MathML"><msub xmlns=""><mi>U</mi><mrow><mi>q</mi></mrow></msub><mi xmlns="">[gl(N̂|N)]</mi></math>

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COMMENTS AND ERRATA

Erratum: “Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation” [J. Math. Phys. 40, 1119 (1999)]

F. Brau

J. Math. Phys. 40, 6125 (1999) https://doi.org/10.1063/1.533074

Abstract

View articletitled, Erratum: “Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation” [J. Math. Phys. 40, 1119 (1999)]

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Erratum: “Rest frame system for asymptotically flat space–times” [J. Math. Phys. 39, 6631 (1998)]

Osvaldo M. Moreschi; Sergio Dain

J. Math. Phys. 40, 6126–6127 (1999) https://doi.org/10.1063/1.533081

Abstract

View articletitled, Erratum: “Rest frame system for asymptotically flat space–times” [J. Math. Phys. 39, 6631 (1998)]

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Issues

QUANTUM PHYSICS; PARTICLES AND 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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