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arXiv · hep-th/0201211

Elliptic Ruijsenaars-Schneider and Calogero-Moser Models Represented by Sklyanin Algebra and sl(n) Gaudin Algebra

Kai Chen·Heng Fan·Bo-yu Hou·Kang-jie Shi·Wen-li Yang·Rui-hongYue
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Abstract

The relationship between Elliptic Ruijsenaars-Schneider (RS) and Calogero-Moser (CM) models with Sklyanin algebra is presented. Lax pair representations of the Elliptic RS and CM are reviewed. For n=2 case, the eigenvalue and eigenfunction for Lame equation are found by using the result of the Bethe ansatz method.

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Kai Chen, Heng Fan, Bo-yu Hou, Kang-jie Shi, Wen-li Yang, Rui-hongYue. 2002-01-26. Elliptic Ruijsenaars-Schneider and Calogero-Moser Models Represented by Sklyanin Algebra and sl(n) Gaudin Algebra. https://doi.org/10.1143/ptps.135.149

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