Liouville Integrability of Classical Calogero-Moser Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, LaTeX2e, no figures

Scientific paper

10.1016/S0375-9601(00)00842-2

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.

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