We give a general framework for describing electronic states in isolat
ed quantum wires. It provides a description of both the conduction ban
d and the valence band, taking full account of the complexity of the G
amma(8) valence band. This is applied to T-shaped wires and V-shaped w
ires. To make a useful comparison with experimental results we calcula
te the exciton Rydberg. We show that in the case of the T-shaped wires
hole confinement is due to the interaction with the confined electron
and not due to the confining potential: the red shift of the wire exc
iton line with respect to that of the quantum well is mainly due to th
e decrease of the electron confinement energy and only partially to th
e increase of the exciton Rydberg. The experimental results are reprod
uced with no adjustable parameters.