Longitudinal field photon models

A SEMICLASSICAL MODEL OF THE PHOTON BASED ON OBJECTIVE REALITY AND CONTAINING LONGITUDINAL FIELD COMPONENTS... 

Next, we are going to discuss theoretical models for scattering processes. In the first model, we treat the electron as a point charge which interacts with the solid by virtue of its Coulomb field. The solid is characterized by its dielectric function 8(q, w). Since it is the longitudinal field of the electron (as opposed to the transverse field of the photon) which couples to the solid (or liquid), the scattering rate scales with Im[l/8(q, w)] (Landau and Lifshitz, 1960 Sparks et al., 1981). This expression becomes large whenever 8 is small, which means... 

With a nonzero rest mass one would at a first glance expect a photon gas to have three degrees of freedom two transverse and one longitudinal. This would alter Planck s radiation law by a factor of, in contradiction with experience [20]. A detailed analysis based on the Proca equation shows, however, that the B3 spin field cannot be involved in a process of light absorbtion [5]. This is also made plausible by the present model of Sections VII and VIII, where the spin field is carried away by the pilot field. As a result, Planck s law is recovered in all practical cases [20]. In this connection it has also to be observed that transverse photons cannot penetrate the walls of a cavity, whereas this is the case for longitudinal photons which would then not contribute to the thermal equilibrium [43]. 

In the present paper, a sandwich type model for the transport characteristics of the S-N-S junction is developed. The role of the Andreev reflection at the S-N interface is taken into account. We analyze the photon-assisted transport process due to both intersubband transitions (when the radiation field is in that transverse polarization) and to intrasubband transition (when the ac field is in the longitudinal polarization). 

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