On the Geometric Origin of the Bi-Hamiltonian Structure of the Calogero–Moser System

Autor:	Claudio Bartocci, Giovanni Ortenzi, Igor Mencattini, Gregorio Falqui, Marco Pedroni
Přispěvatelé:	Bartocci, C, Falqui, G, Mencattini, I, Ortenzi, G, Pedroni, M
Jazyk:	angličtina
Rok vydání:	2010
Předmět:	Hamiltonian reduction General Mathematics Calogero-Moser systems FOS: Physical sciences Poisson distribution bi-Hamiltonian geometry Lax pairs symbols.namesake Hamiltonian structure Settore MAT/05 - Analisi Matematica Integrable systems bihamiltonian geometry Calogero-Moser spaces Mathematics::Symplectic Geometry Mathematical Physics Mathematics Mathematical physics Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical analysis Mathematical Physics (math-ph) MAT/07 - FISICA MATEMATICA Calogero-Moser spaces Formalism (philosophy of mathematics) Nonlinear Sciences::Exactly Solvable and Integrable Systems Calogero-Moser system Integrable systems symbols Cotangent bundle bihamiltonian geometry Exactly Solvable and Integrable Systems (nlin.SI)
Popis:	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. 19 pages, no figures, minor changes and remarks added
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d7760c2e6ef71adf40c72813cbe9e04 http://hdl.handle.net/10281/8341 Zobrazit plný text záznamu