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Journal of Mathematical Physics -- October 2009

The 20 research articles with the most full-text downloads during the month, in descending order

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The tunneling solutions of the time-dependent Schrödinger equation for a square-potential barrier
A. Elçi and H. P. Hjalmarson
J. Math. Phys. 50, 102101 (2009) (31 pages)
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On the Ehrenfest theorem of quantum mechanics
Gero Friesecke and Mario Koppen
J. Math. Phys. 50, 082102 (2009) (6 pages)
Abstract Full Text: [    PDF (115 kB)  ] Order

Quantum Theory of the Electromagnetic Field in a Variable-Length One-Dimensional Cavity
Gerald T. Moore
J. Math. Phys. 11, 2679 (1970) (13 pages)
Abstract Full Text: [    PDF (888 kB)  ] Order

Darboux theory of integrability for a class of nonautonomous vector fields
J. Llibre and Ch. Pantazi
J. Math. Phys. 50, 102705 (2009) (19 pages)
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The Lambert W function and quantum statistics
S. R. Valluri, M. Gil, D. J. Jeffrey, and Shantanu Basu
J. Math. Phys. 50, 102103 (2009) (11 pages)
Abstract Full Text: [    PDF (163 kB)  ] Order

Some traveling wave solutions for the dissipative Zabolotskaya–Khokhlov equation
M. S. Bruzon, M. L. Gandarias, M. Torrisi, and R. Tracinà
J. Math. Phys. 50, 103504 (2009) (12 pages)
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Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations
Anjan Kundu
J. Math. Phys. 50, 102702 (2009) (16 pages)
Abstract Full Text: [    PDF (273 kB)  ] Order

Exactly solvable birth and death processes
Ryu Sasaki
J. Math. Phys. 50, 103509 (2009) (18 pages)
Abstract Full Text: [    PDF (196 kB)  ] Order

Maximally symmetric vector propagator
N. C. Tsamis and R. P. Woodard
J. Math. Phys. 48, 052306 (2007) (14 pages)
Abstract Full Text: [    PDF (165 kB)  ] Order

Nonlinear evolution equations admitting multilinear variable separable solutions
Changzheng Qu and Shoufeng Shen
J. Math. Phys. 50, 103522 (2009) (14 pages)
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A group theoretical identification of integrable equations in the Liénard-type equation x-double_dot +f(x)x-dot +g(x)=0. II. Equations having maximal Lie point symmetries
S. N. Pandey, P. S. Bindu, M. Senthilvelan, and M. Lakshmanan
J. Math. Phys. 50, 102701 (2009) (25 pages)
Abstract Full Text: [    PDF (263 kB)  ] Order

Exponential Operators and Parameter Differentiation in Quantum Physics
R. M. Wilcox
J. Math. Phys. 8, 962 (1967) (21 pages)
Abstract Full Text: [    PDF (1403 kB)  ] Order

On the structure of graded Lie algebras
Antonio J. Calderón Martín
J. Math. Phys. 50, 103513 (2009) (8 pages)
Abstract Full Text: [    PDF (119 kB)  ] Order

The noncommutative sine-Gordon breather
André Fischer and Olaf Lechtenfeld
J. Math. Phys. 50, 095201 (2009) (10 pages)
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Kaluza–Klein theory as a dynamics in a dual geometry
Avi Gershon and Lawrence Horwitz
J. Math. Phys. 50, 102704 (2009) (10 pages)
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Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials
Ian Marquette
J. Math. Phys. 50, 095202 (2009) (18 pages)
Abstract Full Text: [    PDF (195 kB)  ] Order

Attractors for nonautonomous two-dimensional space periodic Navier–Stokes equations
Dongshan Gong, Haitao Song, and Chengkui Zhong
J. Math. Phys. 50, 102706 (2009) (10 pages)
Abstract Full Text: [    PDF (122 kB)  ] Order

Introduction to Special Issue: Integrable Quantum Systems and Solvable Statistical Mechanics Models
Alexander Its, Michio Jimbo, and Jean-Michel Maillet
J. Math. Phys. 50, 095101 (2009) (1 page)
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Integration in Functional Spaces and its Applications in Quantum Physics
I. M. Gel'fand and A. M. Yaglom
J. Math. Phys. 1, 48 (1960) (22 pages)
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Bogolubov–Hartree–Fock mean field theory for neutron stars and other systems with attractive interactions
Volker Bach, Jürg Fröhlich, and Lars Jonsson
J. Math. Phys. 50, 102102 (2009) (22 pages)
Abstract Full Text: [    PDF (236 kB)  ] Order