Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions

DOI10.1063/1.1387449zbMath1013.39010OpenAlexW2069898585MaRDI QIDQ2775047

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/10.1063/1.1387449

zbMATH Keywords

HamiltoniansLie algebrasJacobi theta functionsmeromorphic functionsconjugationsMacdonald operatorscommutative difference operatorsrelativistic quantum systems

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Theta functions and abelian varieties (14K25) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Related Items (6)

Symmetrization of Nonsymmetric Macdonald Polynomials and Macdonald's Inner Product Identities ⋮ Higher order deformed elliptic Ruijsenaars operators ⋮ Elliptic Ruijsenaars operators and functional equations ⋮ Topics in quantum integrable systems ⋮ Essential self-adjointness of the elliptic Ruijsenaars models ⋮ On \(q\)-deformations of the Heun equation

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