5 papers · 1 filter
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…
Reflection operator and hypergeometry II: spin chain
P. Antonenko, N. Belousov, S. Derkachov +1
We consider noncompact open spin chain and construct eigenfunctions of -element of monodromy matrix for the simplest case of the chain with one site. The ref…
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 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…