The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2
solv-int
2008-11-26 v1 Exactly Solvable and Integrable Systems
Abstract
We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model) in the same gauge.The relation between our (classical)Lax operator and the Lax operator given by Ruijsenaars is also obtained.
Keywords
Cite
@article{arxiv.solv-int/9802015,
title = {The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2},
author = {Bo-yu Hou and Wen-li Yang},
journal= {arXiv preprint arXiv:solv-int/9802015},
year = {2008}
}
Comments
7 pages, Latex file 17k