Sklyanin Bracket and Deformation of the Calogero-Moser System

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, no figures

Scientific paper

10.1142/S0217732301005047

A two-dimensional integrable system being a deformation of the rational
Calogero-Moser system is constructed via the symplectic reduction, performed
with respect to the Sklyanin algebra action. We explicitly resolve the
respective classical equations of motion via the projection method and quantize
the system.

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