Trigonometric Darboux transformations and Calogero-Moser matrices
Quantum Algebra
2012-04-25 v1 Exactly Solvable and Integrable Systems
Abstract
We characterize in terms of Darboux transformations the spaces in the Segal-Wilson rational Grassmannian, which lead to commutative rings of differential operators having coefficients which are rational functions of e^x. The resulting subgrassmannian is parametrized in terms of trigonometric Calogero-Moser matrices.
Cite
@article{arxiv.0807.2888,
title = {Trigonometric Darboux transformations and Calogero-Moser matrices},
author = {Luc Haine and Emil Horozov and Plamen Iliev},
journal= {arXiv preprint arXiv:0807.2888},
year = {2012}
}