Alternative measurements of the fermion g-factor in the field of a traveling circularly polarized electromagnetic wave

The field of a traveling circularly polarized electromagnetic wave and a constant magnetic field localizes fermions perpendicularly to propagation of the wave in the cross section of the order of the wavelength. Unusual exact solutions of the Dirac equation correspond to this localization. Except to routine use of thin fermion beams it can be suitable for alternative measurements of the g - factor. Details and peculiarities of the solutions in application to the measurements are considered in the paper.