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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:

  • On Parameter Differentiation for Integral Representations of Associated Legendre Functions 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters. With this justification, ...
  • On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum 
    Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero elements on the first sub-diagonal in an ...
  • On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also ...
  • On the Projective Algebra of Randers Metrics of Constant Flag Curvature 
    Rafie-Rad, M.; Rezaei, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of ...
  • 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 ...
  • Orthogonality Relations for Multivariate Krawtchouk Polynomials 
    Mizukawa, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, ...
  • Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement 
    Maleki, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The ...
  • Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach 
    Visinescu, A.; Grecu, D.; Fedele, R.; De Nicola, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the multiple scales method, the interaction between two bright and one dark solitons is studied. Provided that a long wave-short wave resonance condition is satisfied, the two-component Zakharov-Yajima-Oikawa (ZYO) ...
  • Planarizable Supersymmetric Quantum Toboggans 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isospectrality between partner potentials. One of the regularization recipes is based on a topologically nontrivial, multisheeted ...
  • Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics 
    Bozhkov, Y.; Olver, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic ...
  • 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 ...

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