Theory of spin‐polarized optical potential

We develop an approximation for the non‐local spin‐polarized optical potential theory for atoms in solids at intermediate and high energy. The present approximation for the optical potential builds on the GW‐expression. We separate the RPA polarization propagator into a core electron and a valence electron part, and can then achieve a corresponding separation of the optical potential. For the valence electron optical potential we use a local density approximation because the charge density changes fairly slowly, whereas we use a non‐local optical potential for the core electron part. Both of them depend on the spin‐polarization. We apply this method to electron‐Fe elastic scattering in solid, and discuss the results.