✦ LIBER ✦

A family of hyperbolic spin Calogero-Moser systems and the spin Toda lattices

✍ Scribed by L.-C. Li

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 320 KB
Volume: 57
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.20020

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✦ Synopsis

Abstract

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 classes 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. © 2004 Wiley Periodicals, Inc.

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