Baxter \(Q\)-operators in Ruijsenaars-Sutherland hyperbolic systems: one- and two-particle cases

DOI10.1007/S10958-024-07375-8MaRDI QIDQ6634776

S. É. Derkachov, N. Belousov, Sergey Khoroshkin, S. Kharchev

Publication date: 8 November 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Basic hypergeometric functions (33Dxx) Hypergeometric functions (33Cxx)

Cites Work

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• Sekiguchi-Debiard operators at infinity
• Macdonald operators at infinity
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• A Recursive Construction of Joint Eigenfunctions for the Hyperbolic Nonrelativistic Calogero-Moser Hamiltonians
• First order analytic difference equations and integrable quantum systems
• Multiple sine functions
• Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)
• Wave Function for GL(n, ℝ) Hyperbolic Sutherland Model
• Baxter operators in Ruijsenaars hyperbolic system. I: Commutativity of \(Q\)-operators.
• Baxter operators in Ruijsenaars hyperbolic system. II: Bispectral wave functions.

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