Integrability of the Cn and BCn Ruijsenaars-Schneider models
Kai Chen, Bo-yu Hou, Wen-Li Yang
Abstract
We study the Cn and BCn Ruijsenaars-Schneider(RS) models with interaction potential of trigonometric and rational types. The Lax pairs for these models are constructed and the involutive Hamiltonians are also given. Taking nonrelativistic limit, we also obtain the Lax pairs for the corresponding Calogero-Moser systems.
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