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.
On the geometric origin of the bi-hamiltonian structure of the Calogero-Moser system
BARTOCCI, CLAUDIO;
2010-01-01
Abstract
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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