A Family of Hyperbolic Spin Calogero-Moser Systems and the Spin Toda Lattices
Abstract
Description
In this paper, we continue to develop a general scheme to study a broad class of integrable systems naturally associated with the coboundary dynamical Lie algebroids. In particular, we present a factorization method for solving the Hamiltonian flows. We also present two important class of new examples, a family of hyperbolic spin Calogero-Moser systems and the spin Toda lattices. To illustrate our factorization theory, we show how to solve these Hamiltonian systems explicitly.
47 pages. References have been updated. This version has additional typo corrections
47 pages. References have been updated. This version has additional typo corrections