Quantum theory of plasmon energy spectra in electron gases of bulk metal and metallic nanostructures

Van Hieu Nguyen and Bich Ha Nguyen

Abstract

The present work is an attempt to formulate the quantum theory of plasmons in metallic structures starting from basic laws of electrodynamics and quantum theory as first principles. In particular, the dynamical integral equation of plasmon in any metallic structure was established. As a test, this general dynamical equation was used to determine the dispersion of plasmon in bulk metal and the obtained result completely agreed with the formula derived in conventional theories. Then the general method for determining the energy spectrum of plasmons in any metallic nanostructure was presented