Abstract

The dynamics of magnetic materials with arbitrary spin is described. The relations between the pure and mixed quantum states with magnetic degrees of freedom are considered. Nonlinear dynamic equations of normal and degenerate nonequilibrium states of high-spin magnets are obtained. We analyze in detail the subalgebras of the Poisson brackets of magnetic quantities for the cases of magnets with spin s = 1/2, 1, and 3/2, in which the exchange interaction has the properties of SO(3), SU(3), SU(4), SU(2), SU(2), SO(4), and SO(5) symmetries. An explicit form of the polarization density matrix for the magnets with spin s = 1 and s = 3/2 in pure quantum states is derived and the range of allowed values of the magnetic degrees of freedom for mixed states is found.

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