BC Toda chain I: reflection operator and eigenfunctions
Mathematical Physics
2026-03-20 v1 math.MP
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
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 satisfying reflection equation with DST chain Lax matrices. Besides, we define Baxter operators for BC Toda chain, prove their commutativity with Hamiltonians and derive the corresponding Baxter equation.
Keywords
Cite
@article{arxiv.2603.16380,
title = {BC Toda chain I: reflection operator and eigenfunctions},
author = {N. Belousov and S. Derkachov and S. Khoroshkin},
journal= {arXiv preprint arXiv:2603.16380},
year = {2026}
}