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.
Dyadic Green’s functions and guided surface waves for a surface conduc- tivity model of graphene
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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.