Bispectrality for the quantum Ruijsenaars model and its integrable deformation

DOI10.1063/1.533399zbMath0987.81038OpenAlexW1977950830MaRDI QIDQ2738103

Oleg A. Chalykh

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533399

zbMATH Keywords

difference operatorsroot systemsJack polynomialsone-parameter deformationinteger coupling parametertrigonometric Calogero-Moser model

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Difference operators (39A70) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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Cites Work

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• Double affine Hecke algebras and Macdonald's conjectures
• Macdonald's evaluation conjectures and difference Fourier transform
• An elementary approach to the hypergeometric shift operators of Opdam
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• New integrable generalizations of Calogero–Moser quantum problem
• The duality of the generalized Calogero and Ruijsenaars problems
• New integrable deformations of the Calogero-Moser quantum problem