4 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…