The University of Southampton
University of Southampton Institutional Repository

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
0305-4470
1-14
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 General, 43, 1-14. (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.

Full text not available from this repository.

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
Keywords: nlin.SI, hep-th, math-ph, math.MP

Identifiers

Local EPrints ID: 424150
URI: https://eprints.soton.ac.uk/id/eprint/424150
ISSN: 0305-4470
PURE UUID: 29783afd-f787-4594-a1be-deadb1ff7f61

Catalogue record

Date deposited: 05 Oct 2018 11:30
Last modified: 27 Feb 2019 17:30

Export record

Altmetrics

Contributors

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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×