English

Classical R-matrix structure for the Calogero model

High Energy Physics - Theory 2009-10-22 v1

Abstract

A classical R-matrix structure is described for the Lax representation of the integrable n-particle chains of Calogero-Olshanetski-Perelo\-mov. This R-matrix is dynamical, non antisymmetric and non-invertible. It immediately triggers the integrability of the Type I, II and III potentials, and the algebraic structures associated with the Type V potential.

Keywords

Cite

@article{arxiv.hep-th/9210128,
  title  = {Classical R-matrix structure for the Calogero model},
  author = {J. Avan and M. Talon},
  journal= {arXiv preprint arXiv:hep-th/9210128},
  year   = {2009}
}

Comments

Latex file 9 pages