Notes on the elliptic Ruijsenaars operators

DOI10.1023/A:1007577231399zbMath0949.47029OpenAlexW63930791MaRDI QIDQ1282055

Yasushi Komori

Publication date: 27 February 2000

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

Full work available at URL: https://doi.org/10.1023/a:1007577231399

zbMATH Keywords

selfadjoint operatorsessential selfadjointnesselliptic Ruijsenaars operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

Related Items (8)

Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess-Zumino-Witten fusion rings ⋮ Elliptic Ding-Iohara algebra and the free field realization of the elliptic Macdonald operator ⋮ Relativistic Lamé functions: Completeness vs. polynomial asymptotics ⋮ 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 ⋮ An algebraic approach to the non-symmetric Macdonald polynomial ⋮ Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system

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