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arXiv · hep-th/0102036

The Dn Ruijsenaars-Schneider model

Kai Chen·Bo-yu Hou
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Abstract

The Lax pair of the Ruijsenaars-Schneider model with interaction potential of trigonometric type based on Dn Lie algebra is presented. We give a general form for the Lax pair and prove partial results for small n. Liouville integrability of the corresponding system follows a series of involutive Hamiltonians generated by the characteristic polynomial of the Lax matrix. The rational case appears as a natural degeneration and the nonrelativistic limit exactly leads to the well-known Calogero-Moser system associated with Dn Lie algebra.

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Kai Chen, Bo-yu Hou. 2001-10-01. The Dn Ruijsenaars-Schneider model. https://doi.org/10.1088/0305-4470%2F34%2F37%2F311

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