Abstract
Optical properties of the dielectric function of metal clusters are studied in the model of independent particles. The methods originally developed for the single particle level density are borrowed to evaluate corrections to the commonly adopted Thomas\char21{}Fermi approximation to the dielectric function. It is demonstrated that developed here extended Thomas\char21{}Fermi approximation to the dielectric function coincides with the average part of its quantum counterpart defined by Strutinsky smoothing [Nucl. Phys. A 95, 420 (1967); 122, 1 (1968)] known from nuclear physics. Special attention is paid to the influence of a finite size on the insulator-metal transition, as manifested in the behavior of the conductivity in the limit of vanishing frequency.
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