On the superintegrability of the rational Ruijsenaars-Schneider model
arXiv:0909.2753 · doi:10.1016/j.physleta.2010.02.065
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.
added 2 references and some comments in v2, 10 pages