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TMF, 2011, Volume 168, Number 2, Pages 245–260 (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

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

DOI: https://doi.org/10.4213/tmf6678

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English version:
Theoretical and Mathematical Physics, 2011, 168:2, 1064–1077

Bibliographic databases:

Received: 21.11.2010

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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\paper The~$SU(3)$ symmetry and macroscopic dynamics of magnets with spin $s=1$
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\pages 1064--1077
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Bar'yakhtar V.G., Butrim V.I., Kolezhuk A.K., Ivanov B.A., “Dynamics and Relaxation in Spin Nematics”, Phys. Rev. B, 87:22 (2013), 224407  crossref  adsnasa  isi  scopus
    2. M. Y. Kovalevsky, A. V. Glushchenko, “Quantum states, symmetry and dynamics in degenerate spin $s=1$ magnets”, J. Magn. Magn. Mater., 355 (2014), 192–196  crossref  adsnasa  isi  scopus
    3. Kovalevksy M.Y., Glushchenko A.V., “Symmetry and Relaxation Dynamics of Spin S=1 Magnets”, Low Temp. Phys., 40:5 (2014), 435–442  crossref  adsnasa  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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