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…
A-Type Open Spin Chain
Pavel V. Antonenko, Sergey Ã. Derkachov, Pavel A. Valinevich
For the noncompact open spin chain, the eigenfunctions of the special matrix element of monodromy matrix are constructed. The key ingredients of the whole…
BC-type open spin chain
P. Antonenko, S. Derkachov, P. Valinevich
We diagonalize the -element of monodromy matrix for noncompact open spin chain with boundary interaction. The monodromy matrix is defined in terms of $SL(2,\m…