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

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

Сортувати за: Порядок: Результатів:

  • Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces 
    Gerdjikov, V.S.; Grahovski, G.G.; Mikhailov, A.V.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A special class of integrable nonlinear differential equations related to A.III-type symmetric spaces and having additional reductions are analyzed via the inverse scattering method (ISM). Using the dressing method we ...
  • Potentials Unbounded Below 
    Curtright, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to ...
  • Projective Metrizability and Formal Integrability 
    Bucataru, I.; Muzsnay, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves. In Theorem 3.8 we reformulate ...
  • Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization 
    Grünbaum, F.A.; de la Iglesia, M.D.; Martínez-Finkelshtein, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a Riemann-Hilbert approach to the theory of matrix orthogonal polynomials. We will focus on the algebraic aspects of the problem, obtaining difference and differential relations satisfied by the corresponding ...
  • Properties of the Exceptional (Xl) Laguerre and Jacobi Polynomials 
    Ho, C.; Odake, S.; Sasaki, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present various results on the properties of the four infinite sets of the exceptional Xl polynomials discovered recently by Odake and Sasaki [Phys. Lett. B 679 (2009), 414-417; Phys. Lett. B 684 (2010), 173-176]. These ...
  • Quantum Analogs of Tensor Product Representations of su(1,1) 
    Groenevelt, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study representations of Uq(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1). We determine the decomposition of these representations into ...
  • Quantum Group Uq(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain 
    Deguchi, T.; Sato, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show some symmetry relations among the correlation functions of the integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the one-point functions in the spin-1 ...
  • Quantum Integrable Model of an Arrangement of Hyperplanes 
    Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra. More precisely, in this paper a quantum integrable model is assigned ...
  • 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 ...

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