Volume 50 Issue 10 | Journal of Mathematical Physics

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QUANTUM MECHANICS (GENERAL AND NONRELATIVISTIC)

The tunneling solutions of the time-dependent Schrödinger equation for a square-potential barrier

A. Elçi; H. P. Hjalmarson

J. Math. Phys. 50, 102101 (2009) https://doi.org/10.1063/1.3215940

Abstract

View articletitled, The tunneling solutions of the time-dependent Schrödinger equation for a square-potential barrier

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Bogolubov–Hartree–Fock mean field theory for neutron stars and other systems with attractive interactions

Volker Bach; Jürg Fröhlich; Lars Jonsson

J. Math. Phys. 50, 102102 (2009) https://doi.org/10.1063/1.3225565

Abstract

View articletitled, Bogolubov–Hartree–Fock mean field theory for neutron stars and other systems with attractive interactions

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The Lambert $W$ function and quantum statistics

S. R. Valluri; M. Gil; D. J. Jeffrey; Shantanu Basu

J. Math. Phys. 50, 102103 (2009) https://doi.org/10.1063/1.3230482

Abstract

View articletitled, The Lambert <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">W</mi></math> function and quantum statistics

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Phase separation of two-component Bose–Einstein condensates

Zuhan Liu

J. Math. Phys. 50, 102104 (2009) https://doi.org/10.1063/1.3243875

Abstract

View articletitled, Phase separation of two-component Bose–Einstein condensates

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Time-reversal frameness and superselection

Gilad Gour; Barry C. Sanders; Peter S. Turner

J. Math. Phys. 50, 102105 (2009) https://doi.org/10.1063/1.3243821

Abstract

View articletitled, Time-reversal frameness and superselection

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Adiabatic approximation with exponential accuracy for many-body systems and quantum computation

Daniel A. Lidar; Ali T. Rezakhani; Alioscia Hamma

J. Math. Phys. 50, 102106 (2009) https://doi.org/10.1063/1.3236685

Abstract

View articletitled, Adiabatic approximation with exponential accuracy for many-body systems and quantum computation

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No-cloning theorem on quantum logics

Takayuki Miyadera; Hideki Imai

J. Math. Phys. 50, 102107 (2009) https://doi.org/10.1063/1.3245811

Abstract

View articletitled, No-cloning theorem on quantum logics

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Explicit pure-state density operator structure for quantum tomography

Hong-yi Fan; Cui-hong Lv

J. Math. Phys. 50, 102108 (2009) https://doi.org/10.1063/1.3250164

Abstract

View articletitled, Explicit pure-state density operator structure for quantum tomography

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RELATIVISTIC QUANTUM MECHANICS, FIELD THEORY, BRANE THEORY (INCLUDING STRINGS)

Nonperturbative one-loop effective action for electrodynamics in curved space-time

Guglielmo Fucci

J. Math. Phys. 50, 102301 (2009) https://doi.org/10.1063/1.3231787

Abstract

View articletitled, Nonperturbative one-loop effective action for electrodynamics in curved space-time

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Low-energy effective action in nonperturbative electrodynamics in curved space-time

Ivan G. Avramidi; Guglielmo Fucci

J. Math. Phys. 50, 102302 (2009) https://doi.org/10.1063/1.3239508

Abstract

View articletitled, Low-energy effective action in nonperturbative electrodynamics in curved space-time

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Compact shell solitons in $K$ field theories

C. Adam; P. Klimas; J. Sánchez-Guillén; A. Wereszczyński

J. Math. Phys. 50, 102303 (2009) https://doi.org/10.1063/1.3250873

Abstract

View articletitled, Compact shell solitons in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">K</mi></math> field theories

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Scalar field theory in $κ$ -Minkowski spacetime from twist

Hyeong-Chan Kim; Youngone Lee; Chaiho Rim; Jae Hyung Yee

J. Math. Phys. 50, 102304 (2009) https://doi.org/10.1063/1.3250148

Abstract

View articletitled, Scalar field theory in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">κ</mi></math>-Minkowski spacetime from twist

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GENERAL RELATIVITY AND GRAVITATION

Weyl’s Lagrangian in teleparallel form

James Burnett; Dmitri Vassiliev

J. Math. Phys. 50, 102501 (2009) https://doi.org/10.1063/1.3204975

Abstract

View articletitled, Weyl’s Lagrangian in teleparallel form

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Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method

A. Ghose Choudhury; Partha Guha; Barun Khanra

J. Math. Phys. 50, 102502 (2009) https://doi.org/10.1063/1.3243455

Abstract

View articletitled, Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method

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DYNAMICAL SYSTEMS

A group theoretical identification of integrable equations in the Liénard-type equation $\ddot{x} + f (x) \dot{x} + g (x) =$ ⁠. II. Equations having maximal Lie point symmetries

S. N. Pandey; P. S. Bindu; M. Senthilvelan; M. Lakshmanan

J. Math. Phys. 50, 102701 (2009) https://doi.org/10.1063/1.3204075

Abstract

View articletitled, A group theoretical identification of integrable equations in the Liénard-type equation <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mover accent="true"><mi>x</mi><mo stretchy="false">̈</mo></mover><mo>+</mo><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mover accent="true"><mi>x</mi><mo stretchy="false">̇</mo></mover><mo>+</mo><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mn></mn></mrow></math>⁠. II. Equations having maximal Lie point symmetries

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Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations

Anjan Kundu

J. Math. Phys. 50, 102702 (2009) https://doi.org/10.1063/1.3204081

Abstract

View articletitled, Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations

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Ellipsoids of U(3) model

M. Cerkaski

J. Math. Phys. 50, 102703 (2009) https://doi.org/10.1063/1.3202825

Abstract

View articletitled, Ellipsoids of U(3) model

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Kaluza–Klein theory as a dynamics in a dual geometry

Avi Gershon; Lawrence Horwitz

J. Math. Phys. 50, 102704 (2009) https://doi.org/10.1063/1.3155853

Abstract

View articletitled, Kaluza–Klein theory as a dynamics in a dual geometry

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Darboux theory of integrability for a class of nonautonomous vector fields

J. Llibre; Ch. Pantazi

J. Math. Phys. 50, 102705 (2009) https://doi.org/10.1063/1.3205450

Abstract

View articletitled, Darboux theory of integrability for a class of nonautonomous vector fields

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Attractors for nonautonomous two-dimensional space periodic Navier–Stokes equations

Dongshan Gong; Haitao Song; Chengkui Zhong

J. Math. Phys. 50, 102706 (2009) https://doi.org/10.1063/1.3227652

Abstract

View articletitled, Attractors for nonautonomous two-dimensional space periodic Navier–Stokes equations

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Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order

Peicheng Zhu

J. Math. Phys. 50, 102707 (2009) https://doi.org/10.1063/1.3227656

Abstract

View articletitled, Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order

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A model for reversible reaction in a subdiffusive regime

Xicheng Li; Mingyu Xu

J. Math. Phys. 50, 102708 (2009) https://doi.org/10.1063/1.3236682

Abstract

View articletitled, A model for reversible reaction in a subdiffusive regime

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Second-order neutral impulsive stochastic evolution equations with delay

Yong Ren; Dandan Sun

J. Math. Phys. 50, 102709 (2009) https://doi.org/10.1063/1.3251332

Abstract

View articletitled, Second-order neutral impulsive stochastic evolution equations with delay

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Complete list of Darboux integrable chains of the form $t_{1 x} = t_{x} + d (t, t_{1})$

Ismagil Habibullin; Natalya Zheltukhina; Aslı Pekcan

J. Math. Phys. 50, 102710 (2009) https://doi.org/10.1063/1.3251334

Abstract

View articletitled, Complete list of Darboux integrable chains of the form <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><msub><mi>t</mi><mrow><mn>1</mn><mi>x</mi></mrow></msub><mo>=</mo><msub><mi>t</mi><mi>x</mi></msub><mo>+</mo><mi>d</mi><mrow><mo>(</mo><mrow><mi>t</mi><mo>,</mo><msub><mi>t</mi><mn>1</mn></msub></mrow><mo>)</mo></mrow></mrow></math>

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CLASSICAL MECHANICS AND CLASSICAL FIELDS

Collinear central configurations in the $n$ -body problem with general homogeneous potential

Mervin Woodlin; Zhifu Xie

J. Math. Phys. 50, 102901 (2009) https://doi.org/10.1063/1.3205451

Abstract

View articletitled, Collinear central configurations in the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">n</mi></math>-body problem with general homogeneous potential

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Note on the Poisson structure of the damped oscillator

A. N. W. Hone; M. Senthilvelan

J. Math. Phys. 50, 102902 (2009) https://doi.org/10.1063/1.3244216

Abstract

View articletitled, Note on the Poisson structure of the damped oscillator

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On continuum dynamics

Giovanni Romano; Raffaele Barretta; Marina Diaco

J. Math. Phys. 50, 102903 (2009) https://doi.org/10.1063/1.3215979

Abstract

View articletitled, On continuum dynamics

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Dual Lindstedt series and Kolmogorov–Arnol’d–Moser theorem

Marco Frasca

J. Math. Phys. 50, 102904 (2009) https://doi.org/10.1063/1.3250190

Abstract

View articletitled, Dual Lindstedt series and Kolmogorov–Arnol’d–Moser theorem

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FLUIDS

Basic results on the equations of magnetohydrodynamics of partially ionized inviscid plasmas

Manuel Núñez

J. Math. Phys. 50, 103101 (2009) https://doi.org/10.1063/1.3246611

Abstract

View articletitled, Basic results on the equations of magnetohydrodynamics of partially ionized inviscid plasmas

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Analysis of generalized Forchheimer flows of compressible fluids in porous media

Eugenio Aulisa; Lidia Bloshanskaya; Luan Hoang; Akif Ibragimov

J. Math. Phys. 50, 103102 (2009) https://doi.org/10.1063/1.3204977

Abstract

View articletitled, Analysis of generalized Forchheimer flows of compressible fluids in porous media

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STATISTICAL PHYSICS

A note on the definition of deformed exponential and logarithm functions

Thomas Oikonomou; G. Baris Bagci

J. Math. Phys. 50, 103301 (2009) https://doi.org/10.1063/1.3227657

Abstract

View articletitled, A note on the definition of deformed exponential and logarithm functions

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Computation for the canonical measures of a colored disordered lattice gas and spectral gap

Zeghdoudi Halim; Boutabia Hacène

J. Math. Phys. 50, 103302 (2009) https://doi.org/10.1063/1.3238479

Abstract

View articletitled, Computation for the canonical measures of a colored disordered lattice gas and spectral gap

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Nonlinear stability of boundary layer solution to the Boltzmann equation with diffusive effect at the boundary

Qianzhu Tian; Jie Sun

J. Math. Phys. 50, 103303 (2009) https://doi.org/10.1063/1.3220562

Abstract

View articletitled, Nonlinear stability of boundary layer solution to the Boltzmann equation with diffusive effect at the boundary

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Quantum hypothesis testing with group symmetry

Fumio Hiai; Milán Mosonyi; Masahito Hayashi

J. Math. Phys. 50, 103304 (2009) https://doi.org/10.1063/1.3234186

Abstract

View articletitled, Quantum hypothesis testing with group symmetry

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METHODS OF MATHEMATICAL PHYSICS

Studies on monodromy preserving deformation of linear differential equations on elliptic curves

Toshiyuki Mano

J. Math. Phys. 50, 103501 (2009) https://doi.org/10.1063/1.3204973

Abstract

View articletitled, Studies on monodromy preserving deformation of linear differential equations on elliptic curves

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An extension of Wiener integration with the use of operator theory

Palle E. T. Jorgensen; Myung-Sin Song

J. Math. Phys. 50, 103502 (2009) https://doi.org/10.1063/1.3196622

Abstract

View articletitled, An extension of Wiener integration with the use of operator theory

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Euclidean Epstein–Glaser renormalization

Kai J. Keller

J. Math. Phys. 50, 103503 (2009) https://doi.org/10.1063/1.3202415

Abstract

View articletitled, Euclidean Epstein–Glaser renormalization

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Some traveling wave solutions for the dissipative Zabolotskaya–Khokhlov equation

M. S. Bruzon; M. L. Gandarias; M. Torrisi; R. Tracinà

J. Math. Phys. 50, 103504 (2009) https://doi.org/10.1063/1.3204507

Abstract

View articletitled, Some traveling wave solutions for the dissipative Zabolotskaya–Khokhlov equation

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A note of Sasakian metrics with constant scalar curvature

Xi Zhang

J. Math. Phys. 50, 103505 (2009) https://doi.org/10.1063/1.3215938

Abstract

View articletitled, A note of Sasakian metrics with constant scalar curvature

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Global existence of classical solutions to the minimal surface equation in two space dimensions with slow decay initial value

Yu-Zhu Wang

J. Math. Phys. 50, 103506 (2009) https://doi.org/10.1063/1.3215982

Abstract

View articletitled, Global existence of classical solutions to the minimal surface equation in two space dimensions with slow decay initial value

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Explicit blow-up solutions to the Schrödinger maps from $R^{2}$ to the hyperbolic 2-space $H^{2}$

Qing Ding

J. Math. Phys. 50, 103507 (2009) https://doi.org/10.1063/1.3218848

Abstract

View articletitled, Explicit blow-up solutions to the Schrödinger maps from <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><msup><mi mathvariant="bold">R</mi><mn>2</mn></msup></mrow></math> to the hyperbolic 2-space <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><msup><mi mathvariant="bold">H</mi><mn>2</mn></msup></mrow></math>

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Note on spin modules associated to $Z$ -graded Lie superalgebras

Kenji Iohara; Yoshiyuki Koga

J. Math. Phys. 50, 103508 (2009) https://doi.org/10.1063/1.3220609

Abstract

View articletitled, Note on spin modules associated to <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="double-struck" xmlns="">Z</mi></math>-graded Lie superalgebras

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Exactly solvable birth and death processes

Ryu Sasaki

J. Math. Phys. 50, 103509 (2009) https://doi.org/10.1063/1.3215983

Abstract

View articletitled, Exactly solvable birth and death processes

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Inadequacies in the conventional treatment of the radiation field of moving sources

Houshang Ardavan; Arzhang Ardavan; John Singleton; Joseph Fasel; Andrea Schmidt

J. Math. Phys. 50, 103510 (2009) https://doi.org/10.1063/1.3215978

Abstract

View articletitled, Inadequacies in the conventional treatment of the radiation field of moving sources

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Final state problem for the cubic nonlinear Klein–Gordon equation

Nakao Hayashi; Pavel I. Naumkin

J. Math. Phys. 50, 103511 (2009) https://doi.org/10.1063/1.3215980

Abstract

View articletitled, Final state problem for the cubic nonlinear Klein–Gordon equation

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On the sensitivity to noise of a Boolean function

Mihaela T. Matache; Valentin Matache

J. Math. Phys. 50, 103512 (2009) https://doi.org/10.1063/1.3225563

Abstract

View articletitled, On the sensitivity to noise of a Boolean function

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On the structure of graded Lie algebras

Antonio J. Calderón Martín

J. Math. Phys. 50, 103513 (2009) https://doi.org/10.1063/1.3226779

Abstract

View articletitled, On the structure of graded Lie algebras

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A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces

C. Vignat; P. W. Lamberti

J. Math. Phys. 50, 103514 (2009) https://doi.org/10.1063/1.3227659

Abstract

View articletitled, A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces

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Quasi-Lie schemes and Emden–Fowler equations

José F. Cariñena; P. G. L. Leach; Javier de Lucas

J. Math. Phys. 50, 103515 (2009) https://doi.org/10.1063/1.3230494

Abstract

View articletitled, Quasi-Lie schemes and Emden–Fowler equations

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A completeness study on discrete, $2 \times 2$ Lax pairs

Mike Hay

J. Math. Phys. 50, 103516 (2009) https://doi.org/10.1063/1.3177197

Abstract

View articletitled, A completeness study on discrete, <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mn>2</mn><mo>×</mo><mn>2</mn></mrow></math> Lax pairs

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Functional determinants in higher derivative Lagrangian theories

Roberto Di Criscienzo; Sergio Zerbini

J. Math. Phys. 50, 103517 (2009) https://doi.org/10.1063/1.3231788

Abstract

View articletitled, Functional determinants in higher derivative Lagrangian theories

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On quantum integrability of the Landau–Lifshitz model

A. Melikyan; A. Pinzul

J. Math. Phys. 50, 103518 (2009) https://doi.org/10.1063/1.3231789

Abstract

View articletitled, On quantum integrability of the Landau–Lifshitz model

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On uniformization of Burnside’s curve $y^{2} = x^{5} - x$

Yu. V. Brezhnev

J. Math. Phys. 50, 103519 (2009) https://doi.org/10.1063/1.3215981

Abstract

View articletitled, On uniformization of Burnside’s curve <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><msup><mi>x</mi><mn>5</mn></msup><mo>−</mo><mi>x</mi></mrow></math>

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Toward a gauge theory for evolution equations on vector-valued spaces

Stefano Cardanobile; Delio Mugnolo

J. Math. Phys. 50, 103520 (2009) https://doi.org/10.1063/1.3227666

Abstract

View articletitled, Toward a gauge theory for evolution equations on vector-valued spaces

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Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

Iryna Egorova; Johanna Michor; Gerald Teschl

J. Math. Phys. 50, 103521 (2009) https://doi.org/10.1063/1.3239507

Abstract

View articletitled, Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

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Nonlinear evolution equations admitting multilinear variable separable solutions

Changzheng Qu; Shoufeng Shen

J. Math. Phys. 50, 103522 (2009) https://doi.org/10.1063/1.3238300

Abstract

View articletitled, Nonlinear evolution equations admitting multilinear variable separable solutions

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Integrability and superintegrability of the generalized $n$ -level many-mode Jaynes–Cummings and Dicke models

T. Skrypnyk

J. Math. Phys. 50, 103523 (2009) https://doi.org/10.1063/1.3205453

Abstract

View articletitled, Integrability and superintegrability of the generalized <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">n</mi></math>-level many-mode Jaynes–Cummings and Dicke models

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The fractional Schrödinger operator and Toeplitz matrices

Agapitos Hatzinikitas

J. Math. Phys. 50, 103524 (2009) https://doi.org/10.1063/1.3237146

Abstract

View articletitled, The fractional Schrödinger operator and Toeplitz matrices

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Regularity criteria of weak solutions to the three-dimensional micropolar flows

Bo-Qing Dong; Zhi-Min Chen

J. Math. Phys. 50, 103525 (2009) https://doi.org/10.1063/1.3245862

Abstract

View articletitled, Regularity criteria of weak solutions to the three-dimensional micropolar flows

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The nonrelativistic limit of (central-extended) Poincaré group and some consequences for quantum actualization

Juan S. Ardenghi; M. Castagnino; R. Campoamor-Stursberg

J. Math. Phys. 50, 103526 (2009) https://doi.org/10.1063/1.3243822

Abstract

View articletitled, The nonrelativistic limit of (central-extended) Poincaré group and some consequences for quantum actualization

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The correlation functions of plane polygons

Salvino Ciccariello

J. Math. Phys. 50, 103527 (2009) https://doi.org/10.1063/1.3227660

Abstract

View articletitled, The correlation functions of plane polygons

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Closed-form evaluation of integrals appearing in positronium decay

Tewodros Amdeberhan; Victor H. Moll; Armin Straub

J. Math. Phys. 50, 103528 (2009) https://doi.org/10.1063/1.3246615

Abstract

View articletitled, Closed-form evaluation of integrals appearing in positronium decay

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A conformal variational approach for helices in nature

Manuel Barros; Angel Ferrández

J. Math. Phys. 50, 103529 (2009) https://doi.org/10.1063/1.3236683

Abstract

View articletitled, A conformal variational approach for helices in nature

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The “hot spots” conjecture for a certain class of planar convex domains

Yasuhito Miyamoto

J. Math. Phys. 50, 103530 (2009) https://doi.org/10.1063/1.3251335

Abstract

View articletitled, The “hot spots” conjecture for a certain class of planar convex domains

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On fixed points of Lüders operation

Liu Weihua; Wu Junde

J. Math. Phys. 50, 103531 (2009) https://doi.org/10.1063/1.3253574

Abstract

View articletitled, On fixed points of Lüders operation

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COMMENTS

Comment on “Existence and regularity for an energy maximization problem in two dimensions” [S. Kamvissis and E. A. Rakhmanov, J. Math. Phys. 46, 083505 (2005)]

Spyridon Kamvissis

J. Math. Phys. 50, 104101 (2009) https://doi.org/10.1063/1.3250831

Abstract

View articletitled, Comment on “Existence and regularity for an energy maximization problem in two dimensions” [S. Kamvissis and E. A. Rakhmanov, J. Math. Phys. 46, 083505 (2005)]

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ERRATA

Publisher’s Note: “Flat Bogomolnyi-Prasad-Sommerfeld domain walls on two-dimensional Kähler-Ricci soliton” [J. Math. Phys. 50, 063514 (2009)]

Bobby Eka Gunara; Freddy Permana Zen

J. Math. Phys. 50, 109901 (2009) https://doi.org/10.1063/1.3203149

Extract

View articletitled, Publisher’s Note: “Flat Bogomolnyi-Prasad-Sommerfeld domain walls on two-dimensional Kähler-Ricci soliton” [J. Math. Phys. 50, 063514 (2009)]

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Erratum: “Minimum-error quantum distinguishability bounds from matrix monotone functions: A comment on ‘Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds'” [J. Math. Phys. 50, 062102 (2009)]

Jon Tyson

J. Math. Phys. 50, 109902 (2009) https://doi.org/10.1063/1.3238299

Extract

View articletitled, Erratum: “Minimum-error quantum distinguishability bounds from matrix monotone functions: A comment on ‘Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds'” [J. Math. Phys. 50, 062102 (2009)]

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Issues

QUANTUM MECHANICS (GENERAL AND NONRELATIVISTIC)

RELATIVISTIC QUANTUM MECHANICS, FIELD THEORY, BRANE THEORY (INCLUDING STRINGS)

GENERAL RELATIVITY AND GRAVITATION

DYNAMICAL SYSTEMS

CLASSICAL MECHANICS AND CLASSICAL FIELDS

FLUIDS

STATISTICAL PHYSICS

METHODS OF MATHEMATICAL PHYSICS

COMMENTS

ERRATA

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