Type: Article
Publication Date: 1995-03-01
Citations: 66
DOI: https://doi.org/10.1063/1.531122
Limits of a recently introduced n-particle difference Calogero–Moser system with elliptic potentials are studied. We obtain hyperbolic and rational difference Calogero–Moser systems with an eight-parameter external field and (finite) difference Toda chains with four-parameter potentials acting on the boundary particles. Hamiltonians for a number of known integrable n-particle systems, such as Ruijsenaars’ relativistic Calogero–Moser and Toda models and their generalizations associated with classical root systems, can be seen as special cases of the Hamiltonians considered in this paper.