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  • Articles  (311)
  • Springer  (311)
  • American Meteorological Society
  • Blackwell Publishing Ltd
  • Copernicus
  • De Gruyter
  • Hindawi
  • Institute of Electrical and Electronics Engineers
  • Molecular Diversity Preservation International
  • Springer Science + Business Media
  • 2020-2022
  • 2010-2014  (311)
  • 1990-1994
  • 1985-1989
  • 1960-1964
  • 2011  (311)
  • Theoretical and Mathematical Physics  (161)
  • 9425
  • Mathematics  (311)
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  • Articles  (311)
Source
Publisher
  • Springer  (311)
  • American Meteorological Society
  • Blackwell Publishing Ltd
  • Copernicus
  • De Gruyter
    • +
Years
  • 2020-2022
  • 2010-2014  (311)
  • 1990-1994
  • 1985-1989
  • 1960-1964
Year
Journal
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  • 1
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    Generalized Foldy-Wouthuysen transformation and pseudodifferential operators (2011)
    Springer
    Details
    Publication Date: 2011-06-15
    Description:    We show that the Foldy-Wouthuysen transformation and its generalizations are simplified if the methods of pseudodifferential operators are used, which also allow estimating the exactness of the transition from the Dirac equation to the reduced equations for electrons and positrons. The methods and techniques used can be useful not only in studying asymptotic solutions of the Dirac equation but also in other problems. Content Type Journal Article Pages 547-566 DOI 10.1007/s11232-011-0041-y Authors J. Brüning, Humboldt University, Berlin, Germany V. V. Grushin, Moscow State Institute for Electronics and Mathematics, Moscow, Russia S. Yu. Dobrokhotov, Moscow Institute for Physics and Technology, Moscow, Russia T. Ya. Tudorovskii, Institute for Molecules and Materials Radboud, University of Nijmegen, Nijmegen, The Netherlands Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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    Topics: Mathematics , Physics
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  • 2
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    An integrable equation with nonsmooth solitons (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    We present the bi-Hamiltonian structure and Lax pair of the equation ρ t = bu x +( 1/2 )[(u 2 −u x 2 )ρ] x , where ρ = u − u xx and b = const , which guarantees its integrability in the Lax pair sense. We study nonsmooth soliton solutions of this equation and show that under the vanishing boundary condition u → 0 at the space and time infinities, the equation has both “W/M-shape” peaked soliton (peakon) and cusped soliton (cuspon) solutions. Content Type Journal Article Pages 584-589 DOI 10.1007/s11232-011-0044-8 Authors Zhijun Qiao, Department of Mathematics, The University of Texas-Pan American, Edinburg, Texas, USA Xianqi Li, Department of Mathematics, The University of Texas-Pan American, Edinburg, Texas, USA Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 3
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    Wigner functions for the Landau problem in noncommutative quantum mechanics (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    We study the Wigner function in noncommutative quantum mechanics. By solving the time-independent Schrödinger equation on both a noncommutative space and a noncommutative phase space, we obtain the Wigner function for the Landau problem on those spaces. Content Type Journal Article Pages 628-635 DOI 10.1007/s11232-011-0047-5 Authors S. Dulat, School of Physics Science and Technology, Xinjiang University, Urumqi, China Kang Li, Department of Physics, Hangzhou Normal University, Hangzhou, China Jianhua Wang, Department of Physics, Shaanxi University of Technology, Hanzhong, China Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 4
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    Solutions of p-adic string equations (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    We review several purely mathematical results concerning boundary value problems for nonlinear pseudodifferential equations for p-adic closed and open strings in the tree approximation in the case d = 1 . For the solutions of these problems, we present formulas establishing the relations between the numbers of their zeros, the multiplicities of the zeros, and the numbers indicating how many times the solutions change sign. Content Type Journal Article Pages 539-546 DOI 10.1007/s11232-011-0040-z Authors V. S. Vladimirov, Steklov Mathematical Institute, RAS, Moscow, Russia Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 5
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    Phase transitions in real gases and ideal Bose gases (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    Based on number theory, we present a new concept of gas without the particle interaction taken into account in which there are first-order phase transitions for T 〈 T cr on isotherms. We present formulas for new ideal gases, solving the Gibbs paradox, and also formulas for the transition to real gases based on the concept of the Zeno line. Content Type Journal Article Pages 654-667 DOI 10.1007/s11232-011-0050-x Authors V. P. Maslov, Lomonosov Moscow State University, Moscow, Russia Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 6
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    Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    We establish that by choosing a smooth local perturbation of the boundary of a planar quantum waveguide, we can create an eigenvalue near any given threshold of the continuous spectrum and the corresponding trapped wave exponentially decaying at infinity. Based on an analysis of an auxiliary object, a unitary augmented scattering matrix, we asymptotically interpret Wood’s anomalies, the phenomenon of fast variations in the diffraction pattern due to variations in the near-threshold wave frequency. Content Type Journal Article Pages 606-627 DOI 10.1007/s11232-011-0046-6 Authors S. A. Nazarov, Institute of Mechanical Engineering Problems, RAS, St. Petersburg, Russia Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 7
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    A new extended matrix KP hierarchy and its solutions (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    Starting from the matrix KP hierarchy and adding a new τ B flow, we obtain a new extended matrix KP hierarchy and its Lax representation with the symmetry constraint on squared eigenfunctions taken into account. The new hierarchy contains two sets of times t A and τ B and also eigenfunctions and adjoint eigenfunctions as components. We propose a generalized dressing method for solving the extended matrix KP hierarchy and present some solutions. We study the soliton solutions of two types of ( 2+1 )-dimensional AKNS equations with self-consistent sources and two types of Davey-Stewartson equations with selfconsistent sources. Content Type Journal Article Pages 590-605 DOI 10.1007/s11232-011-0045-7 Authors Yehui Huang, Department of Mathematical Science, Tsinghua University, Beijing, China Xiaojun Liu, Department of Applied Mathematics, China Agricultural University, Beijing, China Yuqin Yao, Department of Applied Mathematics, China Agricultural University, Beijing, China Yunbo Zeng, Department of Mathematical Science, Tsinghua University, Beijing, China Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 8
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    Nonuniqueness of a Gibbs measure for a model on the Cayley tree (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    We propose a model on the Cayley tree and prove that a uncountable set of Ĝ-periodic Gibbs measures exists for this model, in contrast to models studied previously. Content Type Journal Article Pages 668-679 DOI 10.1007/s11232-011-0051-9 Authors U. A. Rozikov, Institute of Mathematics and Information Technologies, Uzbek Academy of Sciences, Tashkent, Uzbekistan G. T. Madgoziev, Institute of Mathematics and Information Technologies, Uzbek Academy of Sciences, Tashkent, Uzbekistan Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 9
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    Special Lagrangian fibrations on the flag variety F3 (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    We propose a construction of a Lagrangian torus fibration of the full flag variety in ℂ 3 . In contrast to the classical fibration obtained from the Gelfand-Zeitlin system, the proposed fibration is special Lagrangian. Content Type Journal Article Pages 567-576 DOI 10.1007/s11232-011-0042-x Authors N. A. Tyurin, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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  • 10
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    Theorem on energy distribution over degrees of freedom for a quasistable symmetric anharmonic oscillator (2011)
    Springer
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    Publication Date: 2011-06-15
    Description:    We propose a method for describing quasiequilibrium processes in a quasistable anharmonic oscillator affected by heat noise. We introduce effective thermodynamic parameters analogous to those of an equilibrium system but differing from them in numerical value. We define the parameter characterizing the nonequilibrium of the system, prove the mathematical consistency of the proposed method, and obtain the quasiequilibrium analogue of the theorem on energy distribution over degrees of freedom. Content Type Journal Article Pages 636-644 DOI 10.1007/s11232-011-0048-4 Authors A. V. Kargovsky, Lomonosov Moscow State University, Moscow, Russia L. S. Bulushova, Lomonosov Moscow State University, Moscow, Russia O. A. Chichigina, Lomonosov Moscow State University, Moscow, Russia Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
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