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On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
- Publication Year :
- 2009
-
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.<br />Comment: 19 pages, no figures, minor changes and remarks added
- Subjects :
- Mathematical Physics
Nonlinear Sciences - Exactly Solvable and Integrable Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0902.0953
- Document Type :
- Working Paper