Ordered products, W∞-algebra, and two-variable, definite-parity, orthogonal polynomials

DOI10.1063/1.532295zbMath1001.81033arXivquant-ph/9712026OpenAlexW2120703410MaRDI QIDQ4260570

A. Verçin

Publication date: 17 December 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9712026

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (1)

Relative Fisher information of discrete classical orthogonal polynomials

Cites Work

• Difference equation for modifications of Meixner polynomials
• \(W_ \infty\) algebras in the quantum Hall effect.
• Clebsch-Gordan coefficients and Racah coefficients for the SU(2) and SU(1,1) groups as the discrete analogues of the Poschl-Teller potential wavefunctions
• Polynomials and operator orderings
• The Hahn and Meixner polynomials of an imaginary argument and some of their applications
• Continuous Hahn polynomials
• Quantum canonical invariance-a Moyal approach
• Some new identities of the Clebsch–Gordan coefficients and representation functions of SO(2,1) and SO(4)
• W ∞ -covariance of the Weyl–Wigner–Groenewold–Moyal quantization
• su(1,1)algebraic description of one-dimensional potentials within theR-matrix theory
• Continuous Hahn polynomials and the Heisenberg algebra

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