English

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

High Energy Physics - Theory 2009-11-07 v1

Abstract

The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the BCnBC_{n} type is considered. In the simplest nontrivial case of n=2n=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.

Keywords

Cite

@article{arxiv.hep-th/0108155,
  title  = {On the Integrability of Classical Ruijsenaars-Schneider Model of $BC_{2}$ Type},
  author = {V. I. Inozemtsev and R. Sasaki},
  journal= {arXiv preprint arXiv:hep-th/0108155},
  year   = {2009}
}

Comments

10 pages, LaTeX2e, no figures