Abstract
The role of the metallic electron gas in phonon-aided optical transitions is reexamined. The approach differs from previous treatments in that the interaction of the electrons with the lattice vibrations and the radiation are treated concurrently rather than in sequence, and that the Swada-Brout expression rather than the self-consistent field is used for describing the coulomb interaction of the electrons. The principal result is that in one of the absorption processes the electron-phonon interaction is shielded by a dielectric constant that depends on the frequency and on the overall process. A suggestion for handling the problem in terms of the external rather than the internal electro-magnetic field is made.
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