Algebraic and Geometric Structure of the Integrable Models recently Proposed by Calogero
Abstract
We show that the integrability of the dynamical system recently proposed by Calogero and characterized by the Hamiltonian $ H = \sum_{j,k}^{N} p_j p_k \{\lambda + \mu cos [ \nu ( q_j  q_k)] \} $ is due to a simple algebraic structure . It is shown that the integrals of motion are related to the Casimiar invariants of of the $su(1,1)$ algebra. Our method shows clearly how these types of systems can be generalized .
 Publication:

arXiv eprints
 Pub Date:
 February 1996
 DOI:
 10.48550/arXiv.hepth/9602161
 arXiv:
 arXiv:hepth/9602161
 Bibcode:
 1996hep.th....2161K
 Keywords:

 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 12 pages , Latex , No Figures , IPM preprint 96