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

TitleOn the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
Publication TypeJournal Article
Year of Publication2010
AuthorsBartocci, C, Falqui, G, Mencattini, I, Ortenzi, G, Pedroni, M
JournalInt. Math. Res. Not. (2010) 2010:279-296
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.

URLhttp://hdl.handle.net/1963/3800
DOI10.1093/imrn/rnp130

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