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Volume 42, Issue 1

January 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

QUANTUM PHYSICS; PARTICLES AND FIELDS

Fredholm indices and the phase diagram of quantum Hall systems

J. E. Avron; L. Sadun

J. Math. Phys. 42, 1–14 (2001) https://doi.org/10.1063/1.1331317

Abstract

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One-dimensional crystal with a complex periodic potential

John K. Boyd

J. Math. Phys. 42, 15–29 (2001) https://doi.org/10.1063/1.1326458

Abstract

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Spectral and resonance properties of δ- and $δ^{'}$ -type interactions in relativistic quantum mechanics

M. N. Hounkonnou; G. Y. H. Avossevou

J. Math. Phys. 42, 30–51 (2001) https://doi.org/10.1063/1.1316060

Abstract

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Fast-convergent resummation algorithm and critical exponents of $φ^{4}$ -theory in three dimensions

Florian Jasch; Hagen Kleinert

J. Math. Phys. 42, 52–73 (2001) https://doi.org/10.1063/1.1289377

Abstract

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Modular theory and the reconstruction of four-dimensional quantum field theories

Ralf Kähler; Hans-Werner Wiesbrock

J. Math. Phys. 42, 74–86 (2001) https://doi.org/10.1063/1.1327597

Abstract

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Capacity of quantum channels using product measurements

Christopher King; Mary Beth Ruskai

J. Math. Phys. 42, 87–98 (2001) https://doi.org/10.1063/1.1327598

Abstract

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Hyperfunction quantum field theory: Analytic structure, modular aspects, and local observable algebras

S. Nagamachi; E. Brüning

J. Math. Phys. 42, 99–129 (2001) https://doi.org/10.1063/1.1326460

Abstract

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Euler number of instanton moduli space and Seiberg–Witten invariants

A. Sako; T. Sasaki

J. Math. Phys. 42, 130–157 (2001) https://doi.org/10.1063/1.1331319

Abstract

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Inverse scattering for a Schrödinger equation with energy dependent potential

Cornelis van der Mee; Vjacheslav Pivovarchik

J. Math. Phys. 42, 158–181 (2001) https://doi.org/10.1063/1.1326921

Abstract

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CLASSICAL MECHANICS AND CLASSICAL FIELDS

Expansion in the distance parameter for two vortices close together

J. Burzlaff; E. Kellegher

J. Math. Phys. 42, 182–191 (2001) https://doi.org/10.1063/1.1326459

Abstract

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Energy estimates for the von Kármán model of thin-film blistering

Weimin Jin; Peter Sternberg

J. Math. Phys. 42, 192–199 (2001) https://doi.org/10.1063/1.1316058

Abstract

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STATISTICAL PHYSICS AND STOCHASTIC PROCESSES

Fractional Fokker–Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Lévy stable noises

D. Schertzer; M. Larchevêque; J. Duan; V. V. Yanovsky; S. Lovejoy

J. Math. Phys. 42, 200–212 (2001) https://doi.org/10.1063/1.1318734

Abstract

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DYNAMICAL SYSTEMS AND FLUID DYNAMICS

Hamiltonians and zero-curvature equations for integrable partial differential equations

Malcolm R. Adams; Saša Krešić-Jurić

J. Math. Phys. 42, 213–224 (2001) https://doi.org/10.1063/1.1312197

Abstract

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Lie algebraic approach to the construction of $(2+1)$ -dimensional lattice-field and field integrable Hamiltonian equations

Maciej Błaszak; Andrzej Szum

J. Math. Phys. 42, 225–259 (2001) https://doi.org/10.1063/1.1324651

Abstract

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The supersymmetric Camassa–Holm equation and geodesic flow on the superconformal group

Chandrashekar Devchand; Jeremy Schiff

J. Math. Phys. 42, 260–273 (2001) https://doi.org/10.1063/1.1330196

Abstract

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The $A_{M}^{(1)}$ automata related to crystals of symmetric tensors

G. Hatayama; K. Hikami; R. Inoue; A. Kuniba; T. Takagi; T. Tokihiro

J. Math. Phys. 42, 274–308 (2001) https://doi.org/10.1063/1.1322077

Abstract

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Discontinuous trajectories of Lagrangian systems with singular hypersurface

F. Pugliese; A. M. Vinogradov

J. Math. Phys. 42, 309–329 (2001) https://doi.org/10.1063/1.1324653

Abstract

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A hierarchy of generalized AKNS equations, N-Hamiltonian structures and finite-dimensional involutive systems and integrable systems

Zhen-ya Yan; Hong-qing Zhang

J. Math. Phys. 42, 330–339 (2001) https://doi.org/10.1063/1.1289379

Abstract

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RELATIVITY AND GRAVITATION

Unimodular relativity and cosmological constant

David R. Finkelstein; Andrei A. Galiautdinov; James E. Baugh

J. Math. Phys. 42, 340–346 (2001) https://doi.org/10.1063/1.1328077

Abstract

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Projective symmetry in null Einstein–Maxwell space-times

G. S. Hall; S. Khan

J. Math. Phys. 42, 347–354 (2001) https://doi.org/10.1063/1.1332121

Abstract

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Rotating Bianchi type V dust models generalizing the $k=−1$ Friedmann model

Andrzej Krasiński

J. Math. Phys. 42, 355–367 (2001) https://doi.org/10.1063/1.1330197

Abstract

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The method of adjoint operators and a symmetry operator for the Maxwell equations in type-D vacuum backgrounds

Gilberto Silva-Ortigoza

J. Math. Phys. 42, 368–375 (2001) https://doi.org/10.1063/1.1319515

Abstract

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MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries

P. Basarab-Horwath; R. Z. Zhdanov

J. Math. Phys. 42, 376–389 (2001) https://doi.org/10.1063/1.1330199

Abstract

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Symmetry group methods for heat kernels

M. J. Craddock; A. H. Dooley

J. Math. Phys. 42, 390–418 (2001) https://doi.org/10.1063/1.1316763

Abstract

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Optimally defined Racah–Casimir operators for $su (n)$ and their eigenvalues for various classes of representations

J. A. de Azcárraga; A. J. Macfarlane

J. Math. Phys. 42, 419–433 (2001) https://doi.org/10.1063/1.1322076

Abstract

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Smeared heat-kernel coefficients on the ball and generalized cone

J. S. Dowker; Klaus Kirsten

J. Math. Phys. 42, 434–452 (2001) https://doi.org/10.1063/1.1285969

Abstract

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The complex Bateman equation in a space of arbitrary dimension

D. B. Fairlie; A. N. Leznov

J. Math. Phys. 42, 453–462 (2001) https://doi.org/10.1063/1.1286230

Abstract

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Differential calculuses on the quantized braided groups

Ya-Jun Gao; Yuan-Xing Gui

J. Math. Phys. 42, 463–471 (2001) https://doi.org/10.1063/1.1328742

Abstract

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On the classification of irreducible finite-dimensional representations of $U_{q}^{'} ({so}_{3})$ algebra

M. Havlı́ček; S. Pošta

J. Math. Phys. 42, 472–500 (2001) https://doi.org/10.1063/1.1328078

Abstract

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Convergence of the exponential Lie series

P. C. Moan; J. A. Oteo

J. Math. Phys. 42, 501–508 (2001) https://doi.org/10.1063/1.1330198

Abstract

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Nonstandard comodules for quantum matrix bialgebras

H. Montani; R. Trinchero

J. Math. Phys. 42, 509–525 (2001) https://doi.org/10.1063/1.1285814

Abstract

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A spinor-like representation of the contact superconformal algebra $K^{'} (4)$

Elena Poletaeva

J. Math. Phys. 42, 526–540 (2001) https://doi.org/10.1063/1.1326920

Abstract

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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

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