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

Luen-Chau Li
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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 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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Luen-Chau Li. 2005-06-10. A Family of Hyperbolic Spin Calogero-Moser Systems and the Spin Toda Lattices. https://arxiv.org/abs/math-ph/0506028

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