Abstract
Expressions for the dispersion relation of surface plasmon oscillations for the plane-bounded electron gas are derived using the hydrodynamical model. The results for the high and low electron densities agree with the standard results of Kunz, Ritchie and Arakawa. The hydrodynamic interface surface plasmons are discussed. The dispersion relation derived for the volume plasmon oscillations resembles that of Bohm and Pines. The effect of the perturbation set by long-range forces and the effect of short-range interactions are studied. A new critical wave vector K c is found at which the oscillations are inhibited. The values of K c are obtained for the various orders of perturbation.
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