On the superintegrability of the rational Ruijsenaars-Schneider model

Details On the superintegrability of the rational Ruijsenaars-Schneider model On the superintegrability of the rational Ruijsenaars-Schneider model

2009-09-15

arxiv.org/abs/0909.2753v2

Phys.Lett.A374:1913-1916,2010

Physics

Mathematical Physics

added 2 references and some comments in v2, 10 pages

Scientific paper

10.1016/j.physleta.2010.02.065

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.

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