M. Santer et B. Mehlig, Collective versus single-particle effects in the optical spectra of finiteelectronic quantum systems - art. no. 241403, PHYS REV B, 6324(24), 2001, pp. 1403
We study optical spectra of finite electronic quantum systems at frequencie
s smaller than the plasma frequency using a quasiclassical approach. This a
pproach includes collective effects and enables us to analyze how the natur
e of the (single-particle) electron dynamics influences the optical spectra
in finite electronic quantum systems. We present an analytical expression
for the low-frequency absorption coefficient of electromagnetic radiation i
n a finite quantum system with regular ballistic electron dynamics; a two-d
imensional electron gas confined to a strip of width a with specular reflec
tion at the boundaries (our approach is not restricted to systems with regu
lar electron dynamics; it applies equally in the case of diffusive or class
ically chaotic electron motion). By comparing with results of numerical com
putations using the random-phase approximation we show that our analytical
approach provides a qualitative and quantitative understanding of the optic
al spectrum.