2005/06/10 by Luen-Chau Li
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.SG
published as Comm. Pure Appl. Math. 57 (2004), 791-832 · 47 pages. References have been updated. This version has additional typo corrections
arxiv created 2005/06/10 · arxiv updated 2009/12/01
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.