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We study optical spectra of finite electronic quantum systems at frequenciessmaller than the plasma frequency using a quasi-classical approach. Thisapproach includes collective effects and enables us to analyze how the natureof the (single-particle) electron dynamics influences the optical spectra infinite electronic quantum systems. We derive an analytical expression for thelow-frequency absorption coefficient of electro-magnetic radiation in a finitequantum system with ballistic electron dynamics and specular reflection at theboundaries: a two-dimensional electron gas confined to a strip of width a (theapproach can be applied to systems of any shape and electron dynamics --diffusive or ballistic, regular or irregular motion). By comparing with resultsof numerical computations using the random-phase approximation we show that ouranalytical approach provides a qualitative and quantitative understanding ofthe optical spectrum.Comment: 4 pages, 3 figure

Collective versus single-particle effects in the optical spectra of finite electronic quantum systems