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The Dirac equation is invariant under rotations with a constant frequency andinvariable cylindrical radius. 3D transformation for rotating frames is foundwith help of this invariance. Exact localized solutions of the Dirac equationin the field of a traveling circularly polarized electromagnetic wave andconstant magnetic field exist and possess unusual properties. Temporal changesof spin pertaining to the solutions are studied.

3D transformation for rotating frames and temporal behavior of spin in rotating electromagnetic fields