A Note on the Formulation of Spin-Dependent Electric Dipole Moment

Abstract

An expression of the effective dipole moment operator which causes intraband transitions accompanied by spin flips is given in the second quantization scheme. The method adopted in this note is the very same as that established by Gondaira and Tanabe. The present expression, however, includes some new terms which arise from the lowest order perturbation processes overlooked by them. It is pointed out that the expression thus obtained, although it is accurate to the lowest order, cannot satisfy the selection rules for the optical transitions correctly. The fault of the formulation on this point is closely related to the yet unsolved problem of the asymmetry of Hartree Fock Hamiltonian for general orbital configurations.