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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

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  • Rational Solutions of the H3 and Q1 Models in the ABS Lattice List 
    Shi, Y.; Zhang, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the ...
  • Rational Solutions of the Sasano System of Type A₅⁽²⁾ 
    Matsuda, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, we completely classify the rational solutions of the Sasano system of type A₅⁽²⁾, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry ...
  • Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time 
    Fernández-García, N.; Rosas-Ortiz, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown ...
  • Recurrence Coefficients of a New Generalization of the Meixner Polynomials 
    Filipuk, G.; Van Assche, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate new generalizations of the Meixner polynomials on the lattice N, on the shifted lattice N+1−β and on the bi-lattice N∪(N+1−β). We show that the coefficients of the three-term recurrence relation for the ...
  • Recursions of Symmetry Orbits and Reduction without Reduction 
    Malykh, A.A.; Sheftel, M.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Ampère equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually ...
  • Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves 
    Korepanov, I.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    New algebraic relations are presented, involving anticommuting Grassmann variables and Berezin integral, and corresponding naturally to Pachner moves in three and four dimensions. These relations have been found experimentally ...
  • Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum 
    Andrianov, A.A.; Sokolov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem defined on entire axis. Non-Hermitian Hamiltonians ...
  • Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs 
    Sokolov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed of biorthogonal sets of their eigen- and associated functions for the spectral problem ...
  • Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The D-dimensional Smorodinsky-Winternitz system, proposed some years ago by Evans, is re-examined from an algebraic viewpoint. It is shown to possess a potential algebra, as well as a dynamical potential one, in addition ...
  • Routh Reduction by Stages 
    Langerock, B.; Mestdag, T.; Vankerschaver, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This paper deals with the Lagrangian analogue of symplectic or point reduction by stages. We develop Routh reduction as a reduction technique that preserves the Lagrangian nature of the dynamics. To do so we heavily rely ...
  • Schrödinger-like Dilaton Gravity 
    Nakayama, Yu (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z=2, where the action only contains the first-order time derivative. The Horava gravity always admits such a relevant deformation ...
  • Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies 
    Rosu, H.C.; Khmelnytskaya, K.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework of nonrelativistic ...
  • Singularities of Type-Q ABS Equations 
    Atkinson, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The type-Q equations lie on the top level of the hierarchy introduced by Adler, Bobenko and Suris (ABS) in their classification of discrete counterparts of KdV-type integrable partial differential equations. We ask what ...
  • Singularity Analysis and Integrability of a Burgers-Type System of Foursov 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting ...
  • Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation 
    Hietarinta, J.; Zhang, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate ...
  • Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs 
    Caspers, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study Gelfand pairs for locally compact quantum groups. We give an operator algebraic interpretation and show that the quantum Plancherel transformation restricts to a spherical Plancherel transformation. As an example, ...
  • Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End 
    Filali, G.; Kitanine, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric ...
  • Statistical Thermodynamics of Polymer Quantum Systems 
    Chacón-Acosta, G.; Manrique, E.; Dagdug, L.; Morales-Técotl, H.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Polymer quantum systems are mechanical models quantized similarly as loop quantum gravity. It is actually in quantizing gravity that the polymer term holds proper as the quantum geometry excitations yield a reminiscent of ...
  • Structure Constants of Diagonal Reduction Algebras of gl Type 
    Khoroshkin, S.; Ogievetsky, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gln into gln⊕gln. Its representation theory is related to the theory of decompositions of tensor ...
  • Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform 
    Ballesteros, A.; Enciso, A.; Herranz, F.J.; Ragnisco, O.; Riglioni, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional ...

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