  In this work we provide a novel class of degenerate solutions to the Dirac
equation for massive particles, where the rotation of the spin of the particles
is synchronized with the rotation of the magnetic field of the wave-like
electromagnetic fields corresponding to these solutions. We show that the state
of the particles does not depend on the intensity of the electromagnetic fields
but only on their frequency, which is proportional to the mass of the particles
and lies in the region of Gamma/X-rays for typical elementary charged
particles, such as electrons and protons. These novel theoretical results could
play an important role in plasma physics, astrophysics, and other fields of
physics, involving the interaction of charged particles with high energy
photons.
