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A family of hyperbolic spin Calogero‐Moser systems and the spin Toda lattices
Author(s) -
Li L.C.
Publication year - 2004
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20020
Subject(s) - integrable system , factorization , mathematics , hamiltonian system , hamiltonian (control theory) , class (philosophy) , pure mathematics , spin (aerodynamics) , mathematical physics , algebra over a field , physics , computer science , mathematical optimization , algorithm , artificial intelligence , thermodynamics
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.