Geodesic
The $SU(3)$ symmetry and macroscopic dynamics of magnets with spin $s=1$
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 2, pp. 245-260 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, dynamics, Hamiltonian approach, magnon momentum, collective excitation spectrum, relaxation.
Mots-clés : quadrupole matrix, Poisson bracket 
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M. Yu. Kovalevsky. The $SU(3)$ symmetry and macroscopic dynamics of magnets with spin $s=1$. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 2, pp. 245-260. http://geodesic.mathdoc.fr/item/TMF_2011_168_2_a4/

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