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The article deals with spin s=1 magnets. The symmetry conditions for normaland degenerate equilibrium states are defined and types of magnetic orderingfound out. For each type of symmetry breaking the structure of source in theGibbs statistical operator has been obtained and additional thermodynamicparameters introduced. The algebra of Poisson bracket for magnetic degrees offreedom has been established and nonlinear dynamic equations have been derived.Using the models of the exchange interaction, we have calculated the spectra ofcollective excitations for two degenerate states whose order parameters havedigerent signature under the time reversal transformation.

Quantum states, symmetry and dynamics in degenerate spin s=1 magnets