Dirac particle with anomalous magnetic moment and polarizability

In the frames of general formalism by Gel’fand–Yaglom, starting with an extended set of representations of the Lorentz group, we have constructed relativistic equation for a spin 1/2 particle with two additional electromagnetic characteristics. We take into account the presence of external electromagnetic fields. After eliminating the supplementary variables of the complete wave function we have derived a generalized Dirac-like equation, which includes two additional interaction terms, they are related to anomalous magnetic moment and polarizability.