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

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)791-832
Number of pages42
JournalCommunications on Pure and Applied Mathematics
Volume57
Issue number6
DOIs
StatePublished - Jun 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A family of hyperbolic spin Calogero-Moser systems and the spin Toda lattices'. Together they form a unique fingerprint.

Cite this