4 papers
Calogero-Sutherland hyperbolic system and Heckman-Opdam hypergeometric function
N. Belousov, L. Cherepanov, S. Derkachov +1
We prove equivalence of two integral representations for the wave functions of hyperbolic Calogero-Sutherland system. For this we study two families of Baxter operators related to…
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.
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…