Abstract
AbstractIn this chapter, we study some electrostatic and electromagnetic boundary-value problems involving two-dimensional electron gas shells in spherical geometry. We use the standard hydrodynamic model to describe the dielectric response of a spherical electron gas shell. The main interest and the key first applications of presented boundary-value problems concern C60 molecule, while keeping in mind that the analysis can be applied to the other two-dimensional electron gas shells with spherical geometry. For brevity, in many sections of this chapter the \(\exp (-i\omega t)\) time factor is suppressed. Furthermore, all media under consideration are nonmagnetic and attention is only confined to the linear phenomena.KeywordsBoundary-value problemTwo-dimensional electron gasC60 moleculeDispersion relationSurface plasmonHydrodynamic modelExtinctionBoundary conditionPolarizability
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