3 papers
math-ph2026
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…
math-ph2026
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…
math-ph2024
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…