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...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Ameduri, Marco, Gerganov, Bogomil, Klemm, Richard A
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.02.2005
Subjects
Classification
Couplings
Equations of motion
Online AccessGet full text

Cover

More Information
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.
ISSN:2331-8422