1 citations · 1 across the 7 of their papers we have counts for
8 papers
BC Toda chain II: symmetries. Dual picture
N. Belousov, S. Derkachov, S. Khoroshkin
In the previous paper we derived Gauss-Givental integral representation for the wave functions of quantum BC Toda chain and also introduced Baxter operators for this model. In the…
BC Toda chain I: reflection operator and eigenfunctions
N. Belousov, S. Derkachov, S. Khoroshkin
We obtain Gauss-Givental integral representation for the eigenfunctions of quantum Toda chain with boundary interaction of BC type. For this we introduce reflection operator satisf…
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…
Ruijsenaars spectral transform
N. Belousov, S. Khoroshkin
Spectral decomposition with respect to the wave functions of Ruijsenaars hyperbolic system defines an integral transform, which generalizes classical Fourier integral. For a certai…
Reflection operator and hypergeometry I: spin chain
P. Antonenko, N. Belousov, S. Derkachov +1
In this work we consider open spin chain, mainly the simplest case of one particle. Eigenfunctions of the model can be constructed using the so-called reflectio…
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 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…
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.