Generalized Lamé functions. II. Hyperbolic and trigonometric specializations

DOI10.1063/1.532823zbMath0985.34080OpenAlexW1988976769MaRDI QIDQ4701810

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/2134

zbMATH Keywords

eigenfunctionsduality and orthogonality propertieshyperbolic and trigonometric interactions

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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Quadratic transformations for a function that generalizes \(_{2}F_{1}\) and the Askey-Wilson polynomials, New formulas for the eigenfunctions of the two-particle difference Calogero-Moser system, Bootstrapping the superconformal index with surface defects, Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions, Hilbert space theory for reflectionless relativistic potentials, Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions, Essential self-adjointness of the elliptic Ruijsenaars models, Generalized Lamé functions. I. The elliptic case, Elliptic Kac-Sylvester matrix from difference Lamé equation

Cites Work

• Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
• First order analytic difference equations and integrable quantum systems
• Generalized Lamé functions. I. The elliptic case