Liouville integrability of classical Calogero-Moser models

Liouville integrability of classical Calogero-Moser models is proved for models based on any root system, including the noncrystallographic 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. (C) 2001 Elsevier Science B.V. All rights reserved.