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  • 1
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    Solutions of p-adic string equations (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
    Publiziert von Springer
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  • 2
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    Hilbert’s causality principle and equations of general relativity exclude the possibility of black hole formation (2012)
    Springer
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    Publikationsdatum: 2012-05-01
    Beschreibung:    We prove that Hilbert’s causality principle and the equations of general relativity exclude the possibility that a black hole can form. Content Type Journal Article Pages 413-419 DOI 10.1007/s11232-012-0040-7 Authors A. A. Logunov, Institute for High Energy Physics, Protvino, Russia M. A. Mestvirishvili, Institute for High Energy Physics, Protvino, Russia Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 170 Journal Issue Volume 170, Number 3
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
    Publiziert von Springer
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  • 3
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    Influence of helicity on the turbulent Prandtl number: Two-loop approximation (2011)
    Springer
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    Publikationsdatum: 2011-12-14
    Beschreibung:    Using the field theory renormalization group technique in the two-loop approximation, we study the influence of helicity (spatial parity violation) on the turbulent Prandtl number in the model of a scalar field passively advected by the helical turbulent environment given by the stochastic Navier-Stokes equation with a self-similar Gaussian random stirring force δ-correlated in time with the correlator proportional to k 4 −d− 2 ɛ . We briefly discuss the influence of helicity on the stability of the corresponding scaling regime. We show that the presence of helicity increases the value of the turbulent Prandtl number up to 50% of its nonhelical value. Content Type Journal Article Pages 1573-1582 DOI 10.1007/s11232-011-0134-7 Authors E. Jurčišinová, Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia M. Jurčišin, Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia R. Remecký, Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 169 Journal Issue Volume 169, Number 2
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
    Publiziert von Springer
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  • 4
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    Generalized Foldy-Wouthuysen transformation and pseudodifferential operators (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
    Publiziert von Springer
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  • 5
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    An integrable equation with nonsmooth solitons (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
    Publiziert von Springer
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  • 6
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    Wigner functions for the Landau problem in noncommutative quantum mechanics (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
    Publiziert von Springer
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  • 7
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    Phase transitions in real gases and ideal Bose gases (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
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  • 8
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    Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
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  • 9
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    A new extended matrix KP hierarchy and its solutions (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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
    Print ISSN: 0040-5779
    Thema: Mathematik , Physik
    Publiziert von Springer
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  • 10
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    Nonuniqueness of a Gibbs measure for a model on the Cayley tree (2011)
    Springer
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    Publikationsdatum: 2011-06-15
    Beschreibung:    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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    Thema: Mathematik , Physik
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