On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system

Details On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system

2009-02-05

arxiv.org/abs/0902.0953v2

Physics

Mathematical Physics

19 pages, no figures, minor changes and remarks added

Scientific paper

We show that the bi-Hamiltonian structure of the rational n-particle
(attractive) Calogero-Moser system can be obtained by means of a double
projection from a very simple Poisson pair on the cotangent bundle of gl(n,R).
The relation with the Lax formalism is also discussed.

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