On the Integrability of Classical Ruijsenaars-Schneider Model of BC2 Type
V. I. Inozemtsev, R. Sasaki
Abstract
The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the BCn type is considered. In the simplest nontrivial case of n=2,the extra integral of motion is presented in explicit form within the ansatz similar to the nonrelativistic Calogero-Moser models. The resulting Hamiltonian has been found by solving the set of two functional equations.
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