Source identities and kernel functions for deformed (quantum) Ruijsenaars models
Mathematical Physics
2020-03-27 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider the relativistic generalization of the quantum Calogero-Sutherland models due to Ruijsenaars, comprising the rational, hyperbolic, trigonometric and elliptic cases. For each of these cases, we find an exact common eigenfunction for a generalization of Ruijsenaars analytic difference operators that gives, as special cases, many different kernel functions; in particular, we find kernel functions for Chalykh- Feigin-Veselov-Sergeev-type deformations of such difference operators which generalize known kernel functions for the Ruijsenaars models. We also discuss possible applications of our results.
Cite
@article{arxiv.1311.4433,
title = {Source identities and kernel functions for deformed (quantum) Ruijsenaars models},
author = {F. Atai and M. Hallnäs and E. Langmann},
journal= {arXiv preprint arXiv:1311.4433},
year = {2020}
}
Comments
24 pages