Liouville Integrability of Classical Calogero-Moser Models
High Energy Physics - Theory
2009-10-31 v1 Condensed Matter
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
Liouville integrability of classical Calogero-Moser models is proved for models based on any root systems, including the non-crystallographic ones. It applies to all types of elliptic potentials, i.e. untwisted and twisted together with their degenerations (hyperbolic, trigonometric and rational), except for the rational potential models confined by a harmonic force.
Keywords
Cite
@article{arxiv.hep-th/0005278,
title = {Liouville Integrability of Classical Calogero-Moser Models},
author = {S. P. Khastgir and R. Sasaki},
journal= {arXiv preprint arXiv:hep-th/0005278},
year = {2009}
}
Comments
8 pages, LaTeX2e, no figures