Quantum Interference and Phase Mixing in Multistream Plasmas

In this paper the kinetic corrected Schr\"{o}dinger-Poisson model is used to obtain the pseudoforce system in order to study variety of streaming electron beam-plasmon interaction effects. The noninteracting stream model is used to investigate the quantum electron beam interference and electron fluid Aharonov-Bohm effects. The model is further extended to interacting two-stream quantum fluid model in order to investigate the orbital quasiparticle velocity, acceleration and streaming power. It is shown that quantum phase mixing in the two-stream model is due to quasiparticle conduction band overlap caused by the Doppler shift in streaming electron de Broglie wavenumbers, a phenomenon which is also known to be a cause for two-stream plasma instability. However, in this case the phase mixing leads to some novel phenomena like stream merging and backscattering. To show the effectiveness of model, it is used to investigate the electron beam-phonon and electron beam-lattice interactions in different beam, ion and lattice parametric configurations. Current density of beam is studied in spatially stable and damping quasiparticle orbital for different symmetric and asymmetric momentum-density arrangements. These basic models may be helpful in better understanding of quantum phase mixing and scattering at quantum level and can be elaborated to study electromagnetic electron beam-plasmon interactions in complex quantum plasmas.