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A generalized Landau–Lifshitz equation for an isotropic SU(3) magnet

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Title A generalized Landau–Lifshitz equation for an isotropic SU(3) magnet
 
Creator Bernatska, Julia
Holod, Petro
Бернадська, Юлія
Голод, Петро
 
Subject Mathematics Subject Classification: 37K65
Mathematics Subject Classification: 82D40
PACS numbers: 75.10.−b
PACS numbers: 75.10.Dg
PACS numbers: 75.10.Hk
 
Description In this paper we obtain equations for large-scale fluctuations of a mean field (the field of magnetization and quadrupole moments) in a magnetic system realized by a square (cubic) lattice of atoms with spins 1 at each site. We use the generalized Heisenberg Hamiltonian with a biquadratic exchange as a quantum model. A quantum thermodynamical averaging gives classical effective models, which are interpreted as Hamiltonian systems on coadjoint orbits of the Lie group SU(3).
 
Date 2009-10-12T15:54:12Z
2009-10-12T15:54:12Z
2009
 
Type Article
 
Identifier Bernatska J. A generalized Landau-Lifshitz equation for an isotropic SU(3) magnet / J. Bernatska and P. Holod // Jornal of Physics A : Mathematical and Theoretical. - 2009. - Vol. 42. - P. 1-14.
http://www.ekmair.ukma.edu.ua/handle/123456789/333
 
Language en
 
Relation Jornal of Physics A : Mathematical and Theoretical. - 2009. - Vol. 42.
 
Publisher IOP Publishing