  We derive the modified Dirac equation for an electron undergos an influence
of the standard model interaction with the nuclear matter. The exact solutions
for this equation and the electron energy spectrum in matter are obtained. This
establishes a rather powerful method for investigation of different processes
that can appear when electrons propagate in background matter. On this basis we
study in detail the spin light of electron in nuclear matter, a new type of
electromagnetic radiation which can be emitted by an electron moving in dense
matter.
