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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

Сортувати за: Порядок: Результатів:

  • The Universal Askey-Wilson Algebra 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain ...
  • 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 ...
  • Third Order ODEs Systems and Its Characteristic Connections 
    Medvedev, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but still is uniquely associated with the system of third order ODEs. This ...
  • Time Asymmetric Quantum Mechanics 
    Bohm, A.R.; Gadella, M.; Kielanowski, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The meaning of time asymmetry in quantum physics is discussed. On the basis of a mathematical theorem, the Stone-von Neumann theorem, the solutions of the dynamical equations, the Schrödinger equation (1) for states or the ...
  • Two Point Correlation Functions for a Periodic Box-Ball System 
    Mada, J.; Tokihiro, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for ...
  • Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere 
    Kalnins, E.G.; Miller Jr., W.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 ...
  • Vector-Valued Jack Polynomials from Scratch 
    Dunkl, C.F.; Luque, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Vector-valued Jack polynomials associated to the symmetric group SN are polynomials with multiplicities in an irreducible module of SN and which are simultaneous eigenfunctions of the Cherednik-Dunkl operators with some ...

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