  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.
