Zhelobenko-Stern formulas and $B_n$ Toda wave functions
Representation Theory
2024-02-27 v1 Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
Using Zhelobenko-Stern formulas for the action of the generators of orthogonal Lie algebra in corresponding Gelfand-Tsetlin basis, we derive Mellin-Barnes presentations for the wave functions of Toda lattice. They are in accordance with Iorgov-Shadura formulas.
Cite
@article{arxiv.2402.16120,
title = {Zhelobenko-Stern formulas and $B_n$ Toda wave functions},
author = {Artur Galiullin and Sergey Khoroshkin and Maxim Lyachko},
journal= {arXiv preprint arXiv:2402.16120},
year = {2024}
}