  Massive neutrinos have nonzero magnetic moments. It is known that the
neutrino spin oscillations can be induced by the neutrino magnetic moment
interaction with the transversal magnetic field. We perform a regions
derivation of the effective neutrino evolution Hamiltonian in moving matter and
show that spin oscillations can be engendered by the interaction with the
transversal current of matter. The obtained general expression for the neutrino
effective evolution Hamiltonian can be used for investigations of various types
of neutrino spin oscillations in the transversal matter currents considered in
the neutrino mass and flavour basis.
