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.
articolo
2010
Bartocci, Claudio; Falqui, Gregorio; Mencattini, Igor; Ortenzi, Giovanni; Pedroni, Marco
(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
File allegato/i alla scheda:
File Dimensione del file Formato  
rnp130.pdf

Solo gestori di archivio

Versione: publisher's version - versione editoriale
Licenza: Licenza default Aisberg
Dimensione del file 240.36 kB
Formato Adobe PDF
240.36 kB Adobe PDF   Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/23780
Citazioni
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 10
social impact