Different optical techniques are described for the characterization of
low-dimensional semiconductor structures like quantum wires and quant
um dots. The main motivation for the strong interest in these structur
es stems from the unique properties in terms of tunable electronic str
ucture and related properties. Progress in applications of such quantu
m structures is, however, limited by the poor control of their geometr
ical distribution, leading to strong, inhomogeneous broadening. New te
chniques are thus needed which allow the study of individual quantum s
tructures and, hence, to learn more about the electronic properties. T
hree main techniques are described: photoluminescence in its macroscop
ical as well as microscopical form, cathodoluminescence, and luminesce
nce induced by a scanning tunneling microscope. These techniques are i
llustrated by optical characterization of quantum wire structures grow
n on patterned substrates and of quantum dots formed by the Stranski-K
rastanow mechanism.