Baxter Q-operators in Ruijsenaars-Sutherland hyperbolic systems: one- and two-particle cases
Mathematical Physics
2023-09-13 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
In these notes we review the technique of Baxter Q-operators in the Ruijsenaars-Sutherland hyperbolic systems in the cases of one and two particles. Using these operators we show in particular that eigenfunctions of these systems admit two dual integral representations and prove their orthogonality and completeness.
Cite
@article{arxiv.2309.06108,
title = {Baxter Q-operators in Ruijsenaars-Sutherland hyperbolic systems: one- and two-particle cases},
author = {N. Belousov and S. Derkachov and S. Kharchev and S. Khoroshkin},
journal= {arXiv preprint arXiv:2309.06108},
year = {2023}
}