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Abstract
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In this paper, we investigate the resonant electron–plasmon interactions in a drifting electron gas of arbitrary degeneracy. The kineticcorrected quantum hydrodynamic model is transformed into the effective Schr€ odinger–Poisson model, and the driven coupled pseudoforce
system is obtained via separation of variables from the appropriately linearized system. It is noted that in the low phase–speed kinetic regime,
the characteristic particle-like plasmon branch is significantly affected by the correction factor, which is a function of electron number
density and temperature. It is shown that the electron current density of drifting electron gas sharply peaks at two distinct drift wavenumbers
for a given value of electron density, temperature, plasmon energy, and damping parameter. The Fano-resonance of current density profile
confirms the electron–plasmon resonant interaction in the presence of underlying interference effect. The electron drift current density
shows fundamentally different resonance effects for plasmon energies with a wavenumber below and above a critical wavenumber.
Moreover, an extension to the multistream model is presented, and the total current density of drifting electron gas in the presence of
resonant electron–plasmon interactions is obtained. We further investigate the kinetic correction effect on matter-wave energy dispersion of
the electron gas. It is also found that the increase in the electron number density leads to an increase in effective mass and consequently
a decrease in electron mobility, whereas the increase in electron temperature has the converse effect. The kinetic correction is noted to
significantly lower the quasiparticle conduction band minimum. The current model may be further elaborated to investigate the electron
beam–plasma interactions.
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