On the Integrability of Classical Ruijsenaars-Schneider Model of $BC_{2}$ Type

Details On the Integrability of Classical Ruijsenaars-Schneider Model of $BC_{2}$ Type On the Integrability of Classical Ruijsenaars-Schneider Model of $BC_{2}$ Type

2001-08-22

arxiv.org/abs/hep-th/0108155v1

Mod.Phys.Lett. A16 (2001) 1941-1950

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX2e, no figures

Scientific paper

10.1142/S0217732301005382

The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the $BC_{n}$ 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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