Symmetry and relaxation dynamics of spin s = 1 magnets

The paper concerns pure and mixed quantum states of spin s = 1 magnets, for which a polarization density matrix has been introduced. The uniaxial and biaxial quadrupole magnetic orderings, corresponding to pure states, are found out and degrees of polarization are calculated. The types of normal and degenerate magnetic states associated with subalgebras of the Poisson brackets of magnetic degrees of freedom are found out. The spectra of collective magnetic excitations are calculated with taking into account the relaxation for normal and degenerate states