We consider theoretically the excitonic levels of weakly one-dimension
al quantum wires in the regime where the center of mass of the exciton
is confined by the wire potentials for the electron and hole. A gener
al frame based on the effective-mass approximation is presented and th
e case of harmonic profiles for the electron and hole confining potent
ials is considered in detail. The breaking of translation symmetry by
the wire potentials introduces a series of transitions between the 1S
and 2S excitons of the underlying isolated well, which lead to an intr
insic high-energy tail for the wire absorption. We evaluate also the e
xciton scattering by longitudinal acoustical phonons and by alloy diso
rder in Ga1-xInxAs-based systems. (C) 1998 American Institute of Physi
cs. [S0021-8979(98)01414-5].