Liouville Integrability of Classical Calogero-Moser Models
arXiv:hep-th/0005278 · doi:10.1016/S0375-9601(00)00842-2
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.
8 pages, LaTeX2e, no figures
References in corpus (1)
Cited by in corpus (5)
- Quadratic Algebra associated with Rational Calogero-Moser Models
- Scattering theory of the hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars--Schneider--van Diejen models
- Non-crystallographic reduction of generalized Calogero-Moser models
- Integrable many-body systems of Calogero-Ruijsenaars type
- Inversion of a mapping associated with the Aomoto-Forrester system