137 citations · 417 across the 29 of their papers we have counts for
30 papers
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…
Wave function for hyperbolic Sutherland model
S. Kharchev, S. Khoroshkin
We obtain certain Mellin-Barnes integrals which present wave functions for hyperbolic Sutherland model with arbitrary positive coupling constant.
Wave function for hyperbolic Sutherland model II. Dual Hamiltonians
S. Kharchev, S. Khoroshkin
Recently we found Mellin-Barnes integrals, representing the wave function for hyperbolic Sutherland model. In present paper, we establish bispectral properties o…
Cherednik algebras and Zhelobenko operators
Sergey Khoroshkin, Maxim Nazarov
We study canonical intertwining operators between modules of the trigonometric Cherednik algebra, induced from the standard modules of the degenerate affine Hecke algebra. We show…