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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 2, Pages 245–260
DOI: https://doi.org/10.4213/tmf6678 (Mi tmf6678) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The $SU(3)$ symmetry and macroscopic dynamics of magnets with spin $s=1$

M. Yu. Kovalevskyab

a Belgorod State University, Belgorod, Russia
b National Science Center "Kharkov Institute for Physics and Technology", Kharkov, Ukraine
Full-text PDF (430 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6678
Abstract: In the Hamiltonian approach, we derive nonlinear dynamic equations for magnetic media with spin $s=1$. We introduce two types of magnetic exchange Hamiltonians corresponding to the Casimir invariants of the $SU(3)$ group. We find the spectra of spin and quadrupole waves corresponding to the states with different symmetries under the time reversal transformation. We consider the effect of dissipative processes and find relaxation fluxes caused by the exchange symmetry of the magnetic Hamiltonian.
Keywords: spin, quadrupole matrix, dynamics, Poisson bracket, Hamiltonian approach, magnon momentum, collective excitation spectrum, relaxation.
Received: 21.11.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 2, Pages 1064–1077
DOI: https://doi.org/10.1007/s11232-011-0088-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Yu. Kovalevsky, “The $SU(3)$ symmetry and macroscopic dynamics of magnets with spin $s=1$”, TMF, 168:2 (2011), 245–260; Theoret. and Math. Phys., 168:2 (2011), 1064–1077
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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