Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials

DOI10.1143/PTP.114.1245zbMath1121.81326arXivhep-th/0512155OpenAlexW2016271072MaRDI QIDQ5425240

Ryu Sasaki, Satoru Odake

Publication date: 9 November 2007

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0512155

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15)

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Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics ⋮ Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials ⋮ \(q\)-oscillator from the \(q\)-Hermite polynomial ⋮ Deformed multivariable Fokker-Planck equations ⋮ Quasiexactly solvable difference equations ⋮ Multiparticle quasiexactly solvable difference equations ⋮ Exact solution in the Heisenberg picture and annihilation-creation operators ⋮ Gradient system for the roots of the Askey-Wilson polynomial ⋮ Solvable discrete quantum mechanics: q-orthogonal polynomials with q=1 and quantum dilogarithm ⋮ Orthogonal polynomials from Hermitian matrices ⋮ Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

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