Separation of variables for the A_3 elliptic Calogero-Moser system
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
We consider the classical elliptic Calogero-Moser model. A set of canonical separated variables for this model has been constructed in Kuznetsov et al. However, the generating function of the separating canonical transform is known only for two- and three-particle cases . We construct this generating function for the next A_3 case as the limit of the conjectured form of the quantum separating operator. We show explicitly that this generating function gives a canonical transform from the set of original variables to the separated ones.
Keywords
Cite
@article{arxiv.nlin/0105005,
title = {Separation of variables for the A_3 elliptic Calogero-Moser system},
author = {V. V. Mangazeev},
journal= {arXiv preprint arXiv:nlin/0105005},
year = {2009}
}
Comments
20 pages, no figures