Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models

Details Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models

2009-12-17

arxiv.org/abs/0912.3468v2

J. Phys. A43: 185201, 2010

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, no figures; v2 references added, typos corrected

Scientific paper

10.1088/1751-8113/43/18/185201

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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