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Abstract
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The quantum coupled pseudoforce model with the damping term is used to study the plasmon excitations in a variety of systems. Damped
plasmon excitations can be used to model different physical situations such as the plasmon penetration into insulating environments and
surface plasmon excitations in semiconductors. The application of the pseudoforce model with damping around a charged Dirac sheet
reveals that such pseudoforce system can also be used to model the charge shielding. It is also observed that quantum charge shielding
possesses two-tone field-density variations due to both single-particle oscillations and collective electrostatic excitations. The effect of uniform electric field on the damped plasmon excitations is also considered in this paper. We further report new findings concerning the effect
of collective quantum excitations which may provide further insight into the theory of bandgap structure in crystals. It is remarked that the
presence of charge screening in a periodic lattice can lead to Fano resonance. Finally, a new expression for the charge-particle continuity
equation in the presence of shielding effect is presented. Current investigation can have fundamental results for better understanding of the
quantum transport phenomenon and optical properties of semiconductors, metallic compounds, nanoclusters, and plasmonic crystals.
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