Theory of spin-polarized optical potential

We develop an approximation for the non-local spin-polarized optical potent ial theory for atoms in solids at intermediate and high energy. The present approximation for the optical potential builds on the GW-expression. We se parate the RPA polarization propagator into a core electron and a valence e lectron part, and can then achieve a corresponding separation of the optica l potential. For the valence electron optical potential we use a local dens ity approximation because the charge density changes fairly slowly, whereas we use a non-local optical potential for the core electron part. Both of t hem depend on the spin-polarization. We apply this method to electron-Fe el astic scattering in solid, and discuss the results.