Influence of Spin-Orbit Scattering on thes−dExchange Model

Starting with an Anderson Hamiltonian for a metallic system with impurities, adding to it a spin-orbit scattering term for the conduction electrons, and performing a Schrieffer-Wolff canonical transformation, one induces an $s-d$ model which takes into account spin-orbit scattering in a consistent fashion. The Hamiltonian derived in this way is used to discuss the alteration of the Kondo effect to lowest order in perturbation theory (for $T\gg T_k$) and the EPR residual linewidth.