  The problem of Dirac's equation in a rotating electromagnetic field can be
reduced to the stationary by using a transformation for point rotating
reference frames. The general form of the non-Galilean transformation is
deduced in the paper. For the non-Galilean transformation time is different in
the rotating and resting frame. This transformation contains a constant, with
the dimension of time. The constant is assumed to be fundamental. The
transformation forms the necessary condition for the existence of periodic,
bounded and square integrable solutions in both the rotating and resting frame.
Variety of such solutions exists. Among the solutions massless states are
identified. They describe localized neutrinos with invariable spin. The states
in the resting frame are not stationary but they have a good chance to be
stable.
