On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
classification
🧮 math-ph
math.MPnlin.SI
keywords
bi-hamiltoniancalogero-moserstructuresystemattractivebundlecotangentdiscussed
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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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