Theory of Conservation of Photon Mechanical Energy, in the Transition between Two Middles, in Rotational Kinetic Energy

In this work, an analysis of the light transition between two middles was performed, considering the photon-matter interaction according to the literature, verifying the predominant effects for low energy photons. It was considered the possibility of the expansion of the predominance of the Compton effect to low energy photons in processes such as the phenomenon of refraction. The conservation of photon mechanical energy in rotational kinetic energy was introduced, which presented implications such as the conservation of angular momentum and linear momentum in the photon-electron collision, predicting that the state of motion of the electron before the collision would not be null as idealized by Compton, presenteding linear and angular moments. A relation was established between the relative refractive index between the two middles and the possible quantum states allowed to the electron, for the occurrence of collisions. It has been found that the wavelength shift is directly proportional to the relative constant between two middles.