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

Authors :: Belousov, N.
Derkachov, S.
Kharchev, S.
Khoroshkin, S.
Source :: Questions of quantum field theory and statistical physics. 28, Zap. Nauchn. Sem. POMI, 520 (2023), 50-123
Publication Year :: 2023
Abstract: In these notes we review the technique of Baxter Q-operators in the Ruijsenaars-Sutherland hyperbolic systems in the cases of one and two particles. Using these operators we show in particular that eigenfunctions of these systems admit two dual integral representations and prove their orthogonality and completeness.

Subjects :: Mathematical Physics
High Energy Physics - Theory
Nonlinear Sciences - Exactly Solvable and Integrable Systems

Database :: arXiv
Journal :: Questions of quantum field theory and statistical physics. 28, Zap. Nauchn. Sem. POMI, 520 (2023), 50-123
Publication Type :: Report
Accession number :: edsarx.2309.06108
Document Type :: Working Paper

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