This article is cited in 3 papers

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

M. Yu. Kovalevsky<sup>ab

a</sup> 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.

Received: 21.11.2010

DOI: 10.4213/tmf6678

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

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