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.
On the Geometric Origin of the Bi-Hamiltonian Structure of the Calogero–Moser System
ORTENZI, GIOVANNI;
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. © 2009 The Author.
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