Generalized Lamé functions. I. The elliptic case

DOI10.1063/1.532822zbMath0985.34079OpenAlexW2022429845MaRDI QIDQ4701809

Simon N. M. Ruijsenaars

Publication date: 21 November 1999

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

Full work available at URL: https://ir.cwi.nl/pub/2135

zbMATH Keywords

elliptic interactiontwo-particle quantum relativistic Calogero-Moser system

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Difference operators (39A70) Lamé, Mathieu, and spheroidal wave functions (33E10)

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Cites Work

• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Ruijsenaars' commuting difference operators as commuting transfer matrices
• Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))
• First order analytic difference equations and integrable quantum systems
• Generalized Lamé functions. II. Hyperbolic and trigonometric specializations
• Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra