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The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2

Bo-yu Hou·Wen-li Yang
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Abstract

We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model) in the same gauge.The relation between our (classical)Lax operator and the Lax operator given by Ruijsenaars is also obtained.

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Bo-yu Hou, Wen-li Yang. 1998-02-22. The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2. https://arxiv.org/abs/solv-int/9802015

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