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Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functions
N. Belousov, S. Derkachov, S. Kharchev +1
In the previous paper we showed that the wave functions of the quantum Ruijsenaars hyperbolic system diagonalize Baxter Q-operators. Using this property and duality relation we pro…
Baxter operators in Ruijsenaars hyperbolic system I. Commutativity of Q-operators
N. Belousov, S. Derkachov, S. Kharchev +1
We introduce Baxter Q-operators for the quantum Ruijsenaars hyperbolic system. We prove that they represent a commuting family of integral operators and also commute with Macdonald…
Baxter operators in Ruijsenaars hyperbolic system II. Bispectral wave functions
N. Belousov, S. Derkachov, S. Kharchev +1
In the previous paper we introduced a commuting family of Baxter Q-operators for the quantum Ruijsenaars hyperbolic system. In the present work we show that the wave functions of t…