A generalized Landau–Lifshitz equation for an isotropic SU(3) magnet
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Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A generalized Landau–Lifshitz equation for an isotropic SU(3) magnet
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| Creator |
Bernatska, Julia
Holod, Petro Бернадська, Юлія Голод, Петро |
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| Subject |
Mathematics Subject Classification: 37K65
Mathematics Subject Classification: 82D40 PACS numbers: 75.10.−b PACS numbers: 75.10.Dg PACS numbers: 75.10.Hk |
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| 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).
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| Date |
2009-10-12T15:54:12Z
2009-10-12T15:54:12Z 2009 |
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| Type |
Article
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| 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 |
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| Language |
en
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| Relation |
Jornal of Physics A : Mathematical and Theoretical. - 2009. - Vol. 42.
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| Publisher |
IOP Publishing
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