Size dependent ac conductivity of small metal particles

The statistical model of electrons in a small metallic particle is applied to calculate three expressions for the size dependent ac conductivity. The first expression is very simple. It is obtained with a sum-rule conserving ansatz for the electric dipole matrix element. The two other forms follow from generalizations of a quasiclassical approximation for the matrix element due to Gor'kov and Eliashberg. The results are discussed and related to other work.Dedicated to Professor W. Brenig on the occasion of his 60th birthday