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arXiv · 0909.2753

On the superintegrability of the rational Ruijsenaars-Schneider model

V. Ayadi·L. Feher
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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.

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V. Ayadi, L. Feher. 2009-09-15. On the superintegrability of the rational Ruijsenaars-Schneider model. https://doi.org/10.1016/j.physleta.2010.02.065

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