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.
(2010). On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system [journal article - articolo]. In INTERNATIONAL MATHEMATICS RESEARCH NOTICES. Retrieved from http://hdl.handle.net/10446/23780
On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
Pedroni, Marco
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.File allegato/i alla scheda:
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