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arXiv:hep-th/0108155 · Modern Physics Letters A

ON THE INTEGRABILITY OF CLASSICAL RUIJSENAARS–SCHNEIDER MODEL OF BC2 TYPE

V. I. Inozemtsev, Ryu Sasaki B

Published Sep 28, 2001• 1 citation
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Abstract

The problem of finding the 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.

DOI
10.1142/s0217732301005382

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The problem of finding the 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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RRR-matrices for the n=2,3n=2,3n=2,3 Elliptic Calogero-Moser Models
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