Classification of integrable clusters of classical Heisenberg spins
Other Condensed Matter
2007-05-23 v1
Abstract
In this letter we present a general classification of integrable models of identical classical spins coupled via the isotropic Heisenberg Hamiltonian. Our constructive proof of integrability provides a solution scheme for the equations describing the time evolution of each spin. We show that for a broad class of Heisenberg couplings, it is possible to solve the equations of motion iteratively by building a hierarchy of spins, each of which precesses about the composite spin of the previous level. This leads to the identification of the frequencies of precession at each level.
Keywords
Cite
@article{arxiv.cond-mat/0502323,
title = {Classification of integrable clusters of classical Heisenberg spins},
author = {Marco Ameduri and Bogomil Gerganov and Richard A. Klemm},
journal= {arXiv preprint arXiv:cond-mat/0502323},
year = {2007}
}
Comments
6 pages, 2 figures