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Volume 40, Issue 3
March 1999
Issue Cover
All Issues
ISSN 0022-2488
EISSN 1089-7658

QUANTUM PHYSICS; PARTICLES AND FIELDS

Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation
F. Brau
J. Math. Phys. 40, 1119–1126 (1999) https://doi.org/10.1063/1.532791
View articletitled, Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation
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A new scaling property of the Casimir energy for a piecewise uniform string
I. Brevik; E. Elizalde; R. Sollie; J. B. Aarseth
J. Math. Phys. 40, 1127–1135 (1999) https://doi.org/10.1063/1.532792
View articletitled, A new scaling property of the Casimir energy for a piecewise uniform string
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Dyon-Skyrmion lumps
Y. Brihaye; B. Kleihaus; D. H. Tchrakian
J. Math. Phys. 40, 1136–1152 (1999) https://doi.org/10.1063/1.532793
View articletitled, Dyon-Skyrmion lumps
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Measure-valued solution to the strongly degenerate compressible Heisenberg chain equations
Shijin Ding; Boling Guo; Fengqiu Su
J. Math. Phys. 40, 1153–1162 (1999) https://doi.org/10.1063/1.532826
View articletitled, Measure-valued solution to the strongly degenerate compressible Heisenberg chain equations
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Rectangular well as perturbation
Mariusz Dudek; Stefan Giller; Piotr Milczarski
J. Math. Phys. 40, 1163–1179 (1999) https://doi.org/10.1063/1.532794
View articletitled, Rectangular well as perturbation
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A braided interpretation of fractional supersymmetry in higher dimensions
R. S. Dunne
J. Math. Phys. 40, 1180–1196 (1999) https://doi.org/10.1063/1.532827
View articletitled, A braided interpretation of fractional supersymmetry in higher dimensions
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On spectral properties of Harper-like models
D. J. L. Herrmann; T. Janssen
J. Math. Phys. 40, 1197–1214 (1999) https://doi.org/10.1063/1.532795
View articletitled, On spectral properties of Harper-like models
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Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field
Fumio Hiroshima
J. Math. Phys. 40, 1215–1236 (1999) https://doi.org/10.1063/1.532796
View articletitled, Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field
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Uncertainty principle for proper time and mass
Shoju Kudaka; Shuichi Matsumoto
J. Math. Phys. 40, 1237–1245 (1999) https://doi.org/10.1063/1.532797
View articletitled, Uncertainty principle for proper time and mass
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Path integral for the relativistic three-dimensional Aharonov–Bohm–Coulomb system
De-Hone Lin
J. Math. Phys. 40, 1246–1254 (1999) https://doi.org/10.1063/1.532798
View articletitled, Path integral for the relativistic three-dimensional Aharonov–Bohm–Coulomb system
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Metric symmetries and spin asymmetries of Ricci-flat Riemannian manifolds
Brett McInnes
J. Math. Phys. 40, 1255–1267 (1999) https://doi.org/10.1063/1.532799
View articletitled, Metric symmetries and spin asymmetries of Ricci-flat Riemannian manifolds
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Nonextensive Bose–Einstein condensation model
T. Michoel; A. Verbeure
J. Math. Phys. 40, 1268–1279 (1999) https://doi.org/10.1063/1.532800
View articletitled, Nonextensive Bose–Einstein condensation model
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Extended supersymmetries for the Schrödinger–Pauli equation
J. Niederle; A. G. Nikitin
J. Math. Phys. 40, 1280–1293 (1999) https://doi.org/10.1063/1.532801
View articletitled, Extended supersymmetries for the Schrödinger–Pauli equation
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Determination of Wigner distribution function for the d-dimensional Coulomb problem
Saeid Nouri
J. Math. Phys. 40, 1294–1299 (1999) https://doi.org/10.1063/1.532802
View articletitled, Determination of Wigner distribution function for the <em>d</em>-dimensional Coulomb problem
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Dynamical semigroups for interacting quantum and classical systems
R. Olkiewicz
J. Math. Phys. 40, 1300–1316 (1999) https://doi.org/10.1063/1.532803
View articletitled, Dynamical semigroups for interacting quantum and classical systems
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Arithmetic properties of spectra produced by Farey hierarchies of approximants
O. Radulescu; T. Janssen
J. Math. Phys. 40, 1317–1333 (1999) https://doi.org/10.1063/1.532804
View articletitled, Arithmetic properties of spectra produced by Farey hierarchies of approximants
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On a trace formula of the Buslaev–Faddeev type for a long-range potential
Alexei Rybkin
J. Math. Phys. 40, 1334–1343 (1999) https://doi.org/10.1063/1.532805
View articletitled, On a trace formula of the Buslaev–Faddeev type for a long-range potential
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Toward quantum mathematics. I. From quantum set theory to universal quantum mechanics
Karl-Georg Schlesinger
J. Math. Phys. 40, 1344–1358 (1999) https://doi.org/10.1063/1.532806
View articletitled, Toward quantum mathematics. I. From quantum set theory to universal quantum mechanics
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CLASSICAL MECHANICS AND CLASSICAL FIELDS

On the anisotropic Manev problem
Scott Craig; Florin Diacu; Ernesto A. Lacomba; Ernesto Perez
J. Math. Phys. 40, 1359–1375 (1999) https://doi.org/10.1063/1.532807
View articletitled, On the anisotropic Manev problem
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Nonholonomic constraints in time-dependent mechanics
G. Giachetta; L. Mangiarotti; G. Sardanashvily
J. Math. Phys. 40, 1376–1390 (1999) https://doi.org/10.1063/1.532808
View articletitled, Nonholonomic constraints in time-dependent mechanics
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An evolutionary equation in thermoelasticity of dipolar bodies
Marin Marin
J. Math. Phys. 40, 1391–1399 (1999) https://doi.org/10.1063/1.532809
View articletitled, An evolutionary equation in thermoelasticity of dipolar bodies
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Transfer matrices for scalar fields on curved spaces
E. Prodan
J. Math. Phys. 40, 1400–1405 (1999) https://doi.org/10.1063/1.532810
View articletitled, Transfer matrices for scalar fields on curved spaces
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DYNAMICAL SYSTEMS AND FLUID DYNAMICS

Darboux transformation and solutions for an equation in 2+1 dimensions
P. G. Estévez
J. Math. Phys. 40, 1406–1419 (1999) https://doi.org/10.1063/1.532811
View articletitled, Darboux transformation and solutions for an equation in 2+1 dimensions
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Symmetry reductions of the BKP hierarchy
Ignace Loris; Ralph Willox
J. Math. Phys. 40, 1420–1431 (1999) https://doi.org/10.1063/1.532812
View articletitled, Symmetry reductions of the BKP hierarchy
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On dimension of the global attractor for damped nonlinear wave equations
Zhou Shengfan
J. Math. Phys. 40, 1432–1438 (1999) https://doi.org/10.1063/1.532813
View articletitled, On dimension of the global attractor for damped nonlinear wave equations
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Analytical study of fractionally charged solitons in a one-dimensional trimerized electron–phonon system
Ryōen Shirasaki; Kaoru Iwano
J. Math. Phys. 40, 1439–1465 (1999) https://doi.org/10.1063/1.532814
View articletitled, Analytical study of fractionally charged solitons in a one-dimensional trimerized electron–phonon system
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RELATIVITY AND GRAVITATION

Classification and conformal symmetry in three-dimensional space–times
G. S. Hall; M. S. Capocci
J. Math. Phys. 40, 1466–1478 (1999) https://doi.org/10.1063/1.532815
View articletitled, Classification and conformal symmetry in three-dimensional space–times
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A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves
M. Kunzinger; R. Steinbauer
J. Math. Phys. 40, 1479–1489 (1999) https://doi.org/10.1063/1.532816
View articletitled, A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves
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Static Bondi energy in the teleparallel equivalent of general relativity
J. W. Maluf; J. F. da Rocha-Neto
J. Math. Phys. 40, 1490–1503 (1999) https://doi.org/10.1063/1.532817
View articletitled, Static Bondi energy in the teleparallel equivalent of general relativity
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Real sector of the nonminimally coupled scalar field to self-dual gravity
Merced Montesinos; Hugo A. Morales-Técotl; Luis F. Urrutia; J. David Vergara
J. Math. Phys. 40, 1504–1517 (1999) https://doi.org/10.1063/1.532818
View articletitled, Real sector of the nonminimally coupled scalar field to self-dual gravity
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MISCELLANEOUS TOPICS IN MATHEMATICAL METHODS

Discrete Riemannian geometry
Aristophanes Dimakis; Folkert Müller-Hoissen
J. Math. Phys. 40, 1518–1548 (1999) https://doi.org/10.1063/1.532819
View articletitled, Discrete Riemannian geometry
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Contractions of Lie algebras and separation of variables. The n-dimensional sphere
A. A. Izmest’ev; G. S. Pogosyan; A. N. Sissakian; P. Winternitz
J. Math. Phys. 40, 1549–1573 (1999) https://doi.org/10.1063/1.532820
View articletitled, Contractions of Lie algebras and separation of variables. The <span class="inline-formula no-formula-id"><span class="mathFormula"></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">n</mi></math></span>-dimensional sphere
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Highest weight irreducible representations of the Lie superalgebra gl(1|∞)
T. D. Palev; N. I. Stoilova
J. Math. Phys. 40, 1574–1594 (1999) https://doi.org/10.1063/1.532821
View articletitled, Highest weight irreducible representations of the Lie superalgebra <span class="inline-formula no-formula-id"><span class="mathFormula"></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext xmlns="">gl(1|∞)</mtext></math></span>
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Generalized Lamé functions. I. The elliptic case
S. N. M. Ruijsenaars
J. Math. Phys. 40, 1595–1626 (1999) https://doi.org/10.1063/1.532822
View articletitled, Generalized Lamé functions. I. The elliptic case
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Generalized Lamé functions. II. Hyperbolic and trigonometric specializations
S. N. M. Ruijsenaars
J. Math. Phys. 40, 1627–1663 (1999) https://doi.org/10.1063/1.532823
View articletitled, Generalized Lamé functions. II. Hyperbolic and trigonometric specializations
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On the reproducing kernel of the Segal-Bargmann space
Stephen Bruce Sontz
J. Math. Phys. 40, 1664–1676 (1999) https://doi.org/10.1063/1.532824
View articletitled, On the reproducing kernel of the Segal-Bargmann space
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A reverse log-Sobolev inequality in the Segal-Bargmann space
Stephen Bruce Sontz
J. Math. Phys. 40, 1677–1695 (1999) https://doi.org/10.1063/1.532825
View articletitled, A reverse log-Sobolev inequality in the Segal-Bargmann space
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Graded Poisson and graded Dirac structures
Manuel de León, Rubén Izquierdo-López
Mathematical models of human memory
Mikhail Katkov, Michelangelo Naim, et al.
Connecting stochastic optimal control and reinforcement learning
J. Quer, Enric Ribera Borrell
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