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Baxter Q-operators in Ruijsenaars-Sutherland hyperbolic systems: one- and two-particle cases
N. Belousov, S. Derkachov, S. Kharchev +1
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 i…
math-ph2023
Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry
N. Belousov, S. Derkachov, S. Kharchev +1
We introduce and study a new family of commuting Baxter operators in the Ruijsenaars hyperbolic system, different from that considered by us earlier. Using a degeneration of Rains…
math-ph2023
Hypergeometric identities related to Ruijsenaars systems
N. Belousov, S. Derkachov, S. Kharchev +1
We present and prove hypergeometric identities which play a crucial role in the theory of Baxter operators in the Ruijsenaars model.