142 citations · 728 across the 28 of their papers we have counts for
28 papers
Non-symmetric triads and Baker-Akhiezer functions
A. Mironov, A. Morozov, A. Popolitov
The symmetric Macdonald polynomial at peculiar values of parameter , is naturally split into non-symmetric parts, which are the (quasi)polynomial…
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…
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.