We consider theoretically the exchange coupling for independent excitons in
quantum wires. The one-dimensional dispersions are complicated because the
confinement energy due to the wire and the kinetic energy along the wire a
xis are comparable in such structures. For weakly confining structures, we
discuss different contributions for the spin depolarization in the presence
of spin-conserving scatterings, which depend on the exchange couplings bet
ween the various confined center-of-mass exciton motions. We also find that
the spin coupling for free excitons increases with decreasing wire cross s
ections in the strong confinement regime. Finally, we show for a gas of ind
ependent excitons that the localization effects increase the spin-depolariz
ation time and alters its temperature dependence.