We report on polarization-resolved micro-photoluminescence experiments perf
ormed on a single GaAs/GaAlAs V-shaped quantum wire. At low temperature the
micro-photoluminescence spectra are composed of sharp peaks corresponding
to excitons localized in naturally formed quantum boxes. We observed splitt
ings of the radiative doublet of these exciton levels into two linearly pol
arized states due to the exchange interaction. The exchange splittings are
of the order of 100 mu eV. A theoretical model of the exchange interaction
on localized states in quantum wires is developed. It shows that the exchan
ge splitting is characteristic of the uniaxial anisotropy of the localized
states and thus related to their extension along the wire ;axis. The experi
mental results are discussed within the frame of this model. (C) 2001 Elsev
ier Science B.V. All rights reserved.