We discuss an approach to calculate electronic excitations in clusters, whi
ch starts from the determination of the ground state within density functio
nal theory and the local density approximation, and subsequently yields ele
ctronic spectra from Green's function theory. These methods, which were ori
ginally developed and used in extended systems, are shown to work well also
in clusters. We discuss the theory and the computational implementation, a
nd illustrate the performance and the physical mechanisms of this approach
for the example clusters Na-4, Na-6, and SiH4. (C) 2000 John Wiley & Sons,
Inc.