A quantum Hartree model yields an exact rapidly convergent series for the dispersion of surface charge oscillations, with the leading semiclassical term matching classical hydrodynamics.
Electronic properties of two-dimensional systems,
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Quantum mechanical model for charge excitation: Surface binding and dispersion
A quantum Hartree model yields an exact rapidly convergent series for the dispersion of surface charge oscillations, with the leading semiclassical term matching classical hydrodynamics.