Generalised scattering model for the quantum modulation of electrons

Abstract

Since the first experiments of the quantum modulation of electron beams by lasers with a crystal as medium in the interaction area ~d1warz-Hora effect) were reported, extensive theoretical studies were performed.A very detaile/ rLproduction of these experiments was achieved (by Andrick and Langhans, further by Weingartshofer et al) where the medium in the interaction area was a gas.The initial clarification of the experiments with crystal as a quantum phenomenon is using a threshold defining a correspondence principle for electromagnetic interaction.Recent experiments by Weingartshofer et al independently confirm this correspondence principle.For two other experiments the ranges of quantum and classical regimes are elaborated to explain the basically differing character of observations.The discussion of the coherence for matter waves is followed up from the beginning of the Schwarz-Hora effect including developments reviewed by Hawkes and indicating further generalizations by the Hanbury-Brown/ Twiss effect.A consequent generalization of the scattering theory of the quantum modulation is presented based on a Green's function solution which results in the fact that far-field superpositions only lead to interferences.The problems of the re-emission of photons from quantum modulated electron beams is discussed and experiments on indirect observations of the phenomena in microwave amplification and in the 1/f noise Handel effect are reported.In the last case. . the self-interaction of electrons are involved in the Handel effect.A further second-quantised derivation and the coherent state Handel effect is presented.