Exciton density of states broadened by compositional disorder in the group-
Ill nitride quantum well is calculated. The excitonic photoluminescence lin
ewidth is estimated and related to the material parameters of the alloy for
two limiting cases of two-dimensional (2D) and three dimensional excitons
in the quantum well. It is shown that the effect of the compositional fluct
uations depends on dimensionality of the exciton: the 2D excitons are more
sensitive to the inhomogeneities than 3D ones. The broad near-band-gap ener
gy states distribution for quasi-two-dimensional excitons is consistent wit
h the experimental evidence of the spontaneous and stimulated emissions fro
m excitonic states localized on compositional fluctuations. [S0163-1829(99)
04015-1].