Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Classical and Quantum Dynamics on Orbifolds 
    Kordyukov, Y.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit ...
  • The Space of Connections as the Arena for (Quantum) Gravity 
    Gielen, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We review some properties of the space of connections as the natural arena for canonical (quantum) gravity, and compare to the case of the superspace of 3-metrics. We detail how a 1-parameter family of metrics on the space ...
  • Families of Integrable Equations 
    Kassotakis, P.; Nieszporski, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the ...
  • Classical and Quantum Dilogarithm Identities 
    Kashaev, R.M.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the quantum cluster algebra formalism of Fock and Goncharov, we present several forms of quantum dilogarithm identities associated with periodicities in quantum cluster algebras, namely, the tropical, universal, and ...
  • The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂) 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension Δ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss a connection between Δ and the ...
  • Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian ...
  • 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 ...
  • A Relativistic Conical Function and its Whittaker Limits 
    Ruijsenaars, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In previous work we introduced and studied a function R(a+,a−,c;v,v^) that is a generalization of the hypergeometric function ₂F₁ and the Askey-Wilson polynomials. When the coupling vector c∈C⁴ is specialized to (b,0,0,0), ...
  • A Connection Formula of the Hahn-Exton q-Bessel Function 
    Morita, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show a connection formula of the Hahn-Exton q-Bessel function around the origin and the infinity. We introduce the q-Borel transformation and the q-Laplace transformation following C. Zhang to obtain the connection ...
  • 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 ...
  • The Non-Autonomous Chiral Model and the Ernst Equation of General Relativity in the Bidifferential Calculus Framework 
    Dimakis, A.; Kanning, N.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The non-autonomous chiral model equation for an m×m matrix function on a two-dimensional space appears in particular in general relativity, where for m=2 a certain reduction of it determines stationary, axially symmetric ...
  • A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application 
    Grünbaum, F.A.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The one variable Krawtchouk polynomials, a special case of the ₂F₁ function did appear in the spectral representation of the transition kernel for a Markov chain studied a long time ago by M. Hoare and M. Rahman. A ...
  • 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 ...
  • 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 ...
  • Breaking Pseudo-Rotational Symmetry through H₊² Metric Deformation in the Eckart Potential Problem 
    Leija-Martinez, N.; Alvarez-Castillo, D.E.; Kirchbach, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The peculiarity of the Eckart potential problem on H₊² (the upper sheet of the two-sheeted two-dimensional hyperboloid), to preserve the (2l+1)-fold degeneracy of the states typical for the geodesic motion there, is usually ...
  • 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 ...
  • Noncommutative Phase Spaces by Coadjoint Orbits Method 
    Ngendakumana, A.; Nzotungicimpaye, J.; Todjihounde, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional ...
  • Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric opposite antipodal fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hypersphere ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис