A Family of Hyperbolic Spin Calogero-Moser Systems and the Spin Toda Lattices

Details A Family of Hyperbolic Spin Calogero-Moser Systems and the Spin Toda Lattices A Family of Hyperbolic Spin Calogero-Moser Systems and the Spin Toda Lattices

2005-06-10

arxiv.org/abs/math-ph/0506028v1

Comm. Pure Appl. Math. 57 (2004), 791-832

Physics

Mathematical Physics

47 pages. References have been updated. This version has additional typo corrections

Scientific paper

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.

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