SU(3) magnet: finite-gap integration on the lowest genus curve
Exactly Solvable and Integrable Systems
2016-11-03 v1
Abstract
We consider the integrable system of isotropic SU(3) Landau-Lifshits equation as a Hamiltonian system on a coadjoint orbit of the SU(3) loop group. We connect the mentioned equation with an isotropic SU(3) magnet because it describes the mean fields of magnetic and quadrupole moments in a spin-1 lattice. For the system of isotropic SU(3) Landau-Lifshits equation we perform separation of variables in Sklyanin's manner, and integrate in the lowest finite gap where the spectral curve is elliptic.
Keywords
Cite
@article{arxiv.1312.2421,
title = {SU(3) magnet: finite-gap integration on the lowest genus curve},
author = {Julia Bernatska and Petro Holod},
journal= {arXiv preprint arXiv:1312.2421},
year = {2016}
}
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10 pages