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. © 2009 The Author.
Bartocci, C., Falqui, G., Mencattini, I., Ortenzi, G., Pedroni, M. (2010). On the Geometric Origin of the Bi-Hamiltonian Structure of the Calogero–Moser System. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010(2), 279-296 [10.1093/imrn/rnp130].
On the Geometric Origin of the Bi-Hamiltonian Structure of the Calogero–Moser System
FALQUI, GREGORIO;ORTENZI, GIOVANNI;
2010
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. © 2009 The Author.
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