  Dirac's equation in the field of a circularly polarized electromagnetic wave
and constant magnetic field has exact localized non-stationary solutions. The
solutions corresponds relativistic fermions only. Among them singular solutions
with energy eigenvalues close to each other are found. The solutions are most
practicable and can be separated by means of the phase matching between the
momentum of the electromagnetic wave and spinor. Characteristic parameters of
the singular states are defined.
