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

2009/02/05 by Claudio Bartocci, Bartocci, C., Gregorio Falqui +7
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0902.0953

openalex publication_date 2009/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

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