On the superintegrability of the rational Ruijsenaars-Schneider model
Mathematical Physics
2011-04-07 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
The rational and hyperbolic Ruijsenaars-Schneider models and their non-relativistic limits are maximally superintegrable since they admit action variables with globally well-defined canonical conjugates. In the case of the rational Ruijsenaars-Schneider model we present an alternative proof of the superintegrability by explicitly exhibiting extra conserved quantities relying on a generalization of the construction of Wojciechowski for the rational Calogero model.
Keywords
Cite
@article{arxiv.0909.2753,
title = {On the superintegrability of the rational Ruijsenaars-Schneider model},
author = {V. Ayadi and L. Feher},
journal= {arXiv preprint arXiv:0909.2753},
year = {2011}
}
Comments
added 2 references and some comments in v2, 10 pages