On the Integrability of Classical Ruijsenaars-Schneider Model of $B{C}_2$ Type

Abstract

The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the $B{C}_n$ 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.

10 pages, LaTeX2e, no figures

References in corpus (2)

• Integrability of the $C_n$ and $B{C}_n$ Ruijsenaars-Schneider models
• The Dn Ruijsenaars-Schneider model