Results 41 to 50 of about 2,985,600 (100)
Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We study Poisson and operator algebras with the ''quasi-linear property'' from the Heisenberg picture point of view. This means that there exists a set of one-parameter groups yielding an explicit expression of dynamical variables (operators) as ...
Alexei Zhedanov, Luc Vinet
doaj +1 more source
The Universal Askey-Wilson Algebra and the Equitable Presentation of U_q(sl_2)
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 quantum algebra U_q(sl_2).
Paul Terwilliger
doaj +1 more source
Spectral Analysis of Certain Schrödinger Operators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
doaj +1 more source
MOMENTS OF ASKEY-WILSON POLYNOMIALS [PDF]
, 2013 New formulas for the $n^{\mathrm{th}}$ moment $\mu_n(a,b,c,d;q)$ of the Askey-Wilson polynomials are given. These are derived using analytic techniques, and by considering three combinatorial models for the moments: Motzkin paths, matchings, and ...
Stanton, Dennis +3 more
core +1 more source
Casoratian identities for the Wilson and Askey-Wilson polynomials [PDF]
, 2015 Infinitely many Casoratian identities are derived for the Wilson and Askey–Wilson polynomials in parallel to the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials, which were reported recently by the present authors.
Odake Satoru +2 more
core +1 more source
Hidden Symmetries of Stochastic Models
Symmetry, Integrability and Geometry: Methods and Applications, 2007 In the matrix product states approach to $n$ species diffusion processes the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra determined by the dynamics of the process.
Boyka Aneva
doaj
Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials [PDF]
, 2011 Nonsymmetric Askey-Wilson polynomials are usually written as Laurent polynomials. We write them equivalently as 2-vector-valued symmetric Laurent polynomials.
Tom H. Koornwinder +4 more
core +1 more source
On the generalized Askey-Wilson polynomials [PDF]
, 2013 In this paper a generalization of Askey-Wilson polynomials is introduced. These polynomials are obtained from the Askey-Wilson polynomials via the addition of two mass points to the weight function of them at the points ±1.
R. Sevinik Adıgüzel +5 more
core +1 more source
An Askey–Wilson Algebra of Rank 2
, 2023 An algebra is introduced which can be considered as a rank 2 extension of the Askey–Wilson algebra. Relations in this algebra are motivated by relations between coproducts of twisted primitive elements in the two-fold tensor product of the quantum ...
Groenevelt, W.G.M. (author) +3 more
core +1 more source
FRT presentation of classical Askey–Wilson algebras
, 2019 International audienceAutomorphisms of the infinite dimensional Onsager algebra are introduced. Certain quotients of the Onsager algebra are formulated using a polynomial in these automorphisms.
Baseilhac, Pascal, Crampé, Nicolas
core +1 more source