Superintegrability, Lax matrices and separation of variables
Exactly Solvable and Integrable Systems
2009-01-27 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the fact that such systems admit a separation of variables in parametric families of coordinate systems.
Keywords
Cite
@article{arxiv.nlin/0303009,
title = {Superintegrability, Lax matrices and separation of variables},
author = {J. Harnad and O. Yermolayeva},
journal= {arXiv preprint arXiv:nlin/0303009},
year = {2009}
}
Comments
13 pages, LaTex file. Published in proceedings of workshop on Superintegrability in Classical and Quantum Systems, 16-21 Sept., 2002, CRM, Universite de Montreal, Montreal (Quebec)