Essential self-adjointness of the elliptic Ruijsenaars models

DOI10.1063/1.1387271zbMath1011.81018OpenAlexW1980218982MaRDI QIDQ2775048

Yasushi Komori

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1387271

zbMATH Keywords

perturbation theorypure point spectrumCalogero-Moser modelarbitrary root systemWeyl group on a torus

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Difference equations (39A99)

Related Items (1)

Relativistic Lamé functions: Completeness vs. polynomial asymptotics

Cites Work

• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Quantum Knizhnik-Zamolodchikov equations and affine root systems
• Notes on the elliptic Ruijsenaars operators
• Elliptic quantum groups and Ruijsenaars models
• Ruijsenaars' commuting difference operators as commuting transfer matrices
• Affine \(R\)-matrix and the generalized elliptic Ruijsenaars models
• Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions
• Quantum integrability of the generalized elliptic Ruijsenaars models
• Relativistic Lamé functions: the special caseg= 2
• Commuting difference operators arising from the elliptic C2(1)-face model
• Integrability of difference Calogero–Moser systems
• First order analytic difference equations and integrable quantum systems
• Conserved operators of the generalized elliptic Ruijsenaars models
• Generalized Lamé functions. I. The elliptic case
• Generalized Lamé functions. II. Hyperbolic and trigonometric specializations
• Difference Calogero–Moser systems and finite Toda chains
• Hilbert space theory for reflectionless relativistic potentials

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