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Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models

Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models
Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models
We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bihamiltonian structures for the discrete models, and field-theoretical realizations of these structures. We discuss the relevance of these realizations as collective-field theory for the discrete models.
nlin.SI, hep-th, math-ph, math.MP
1751-8113
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Avan, Jean
f4787761-c887-4c0f-a92b-eb97436d4063
Jevicki, Antal
5e483818-a19f-494b-89b0-9f0061faff49
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Avan, Jean
f4787761-c887-4c0f-a92b-eb97436d4063
Jevicki, Antal
5e483818-a19f-494b-89b0-9f0061faff49

Aniceto, Inês, Avan, Jean and Jevicki, Antal (2010) Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models. Journal of Physics A: Mathematical and Theoretical, 43, [185201]. (doi:10.1088/1751-8113/43/18/185201).

Record type: Article

Abstract

We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bihamiltonian structures for the discrete models, and field-theoretical realizations of these structures. We discuss the relevance of these realizations as collective-field theory for the discrete models.

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More information

Accepted/In Press date: 12 March 2010
Published date: 15 April 2010
Additional Information: 15 pages, no figures; v2 references added, typos corrected
Related URLs:
Keywords: nlin.SI, hep-th, math-ph, math.MP

Identifiers

Local EPrints ID: 424150
URI: http://eprints.soton.ac.uk/id/eprint/424150
DOI: doi:10.1088/1751-8113/43/18/185201
ISSN: 1751-8113
PURE UUID: 29783afd-f787-4594-a1be-deadb1ff7f61
ORCID for Inês Aniceto: ORCID iD orcid.org/0000-0002-4468-0066

Catalogue record

Date deposited: 05 Oct 2018 11:30
Last modified: 16 Mar 2024 04:39

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Contributors

Author: Inês Aniceto ORCID iD
Author: Jean Avan
Author: Antal Jevicki

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