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Equation of motion of the magnetic moment in the quasiclassical approximation

V. A. PopovPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovА. А. ЛогиновPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kov
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An equation of motion is derived for the lattice-site magnetic moment in the quasiclassical approximation. It is shown that the presence of integrals of motion relating the components of the moment at each site prevents the derived equation from introducing new (in addition to the usual) spin-wave branches associated with variation of the magnitude of the moment vector.

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