Baxter $Q$-operator for the hyperbolic Calogero--Moser system
Mathematical Physics
2023-11-08 v1 Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
We introduce a -operator for the hyperbolic Calogero--Moser system as a one-parameter family of explicit integral operators. We establish the standard properties of a -operator, i.e.~invariance of Hamiltonians, commutativity for different parameter values and that its eigenvalues satisfy an explicitly given first order ordinary difference equation in the parameter .
Cite
@article{arxiv.2311.03946,
title = {Baxter $Q$-operator for the hyperbolic Calogero--Moser system},
author = {Martin Hallnäs},
journal= {arXiv preprint arXiv:2311.03946},
year = {2023}
}
Comments
12 pages