Classification of integrable clusters of classical Heisenberg spins

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 b...

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Bibliographic Details
Main Authors Ameduri, Marco, Gerganov, Bogomil, Klemm, Richard A
Format Journal Article
LanguageEnglish
Published 14.02.2005
Subjects
Physics - Other Condensed Matter
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Summary: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.
DOI:10.48550/arxiv.cond-mat/0502323