Dynamical $r$-matrices for the Elliptic Calogero-Moser Model
High Energy Physics - Theory
2008-02-03 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
For the integrable -particle Calogero-Moser system with elliptic potential it is shown that the Lax operator found by Krichever possesses a classical -matrix structure. The -matrix is a natural generalisation of the matrix found recently by Avan and Talon (hep-th/9210128) for the trigonometric potential. The -matrix depends on the spectral parameter and only half of the dynamical variables (particles' coordinates). It satisfies a generalized Yang-Baxter equation involving another dynamical matrix.
Keywords
Cite
@article{arxiv.hep-th/9308060,
title = {Dynamical $r$-matrices for the Elliptic Calogero-Moser Model},
author = {E. K. Sklyanin},
journal= {arXiv preprint arXiv:hep-th/9308060},
year = {2008}
}
Comments
11p, LATEX file, LPTHE-93-42