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arXiv · 1312.2421

SU(3) magnet: finite-gap integration on the lowest genus curve

Julia Bernatska·Petro Holod
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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.

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Julia Bernatska, Petro Holod. 2013-12-09. SU(3) magnet: finite-gap integration on the lowest genus curve. https://doi.org/10.1088/1742-6596%2F482%2F1%2F012004

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