Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models

Inês Aniceto, Jean Avan, Antal Jevicki
2010 Journal of Physics A: Mathematical and Theoretical  
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.
doi:10.1088/1751-8113/43/18/185201 fatcat:itzfjxob4vfwxc4sm2uytz6oge