  We study the fluorescence light emitted from GaAs excitons in semiconductor
quantum wells. The excitons are modeled as interacting bosons. By combining
quantum optical methods for the excitonic emission spectrum with many particle
descriptions of the transmission through the medium, we can evaluate the
spectra outside the well. Comparing with experimental spectra, we get a very
good agreement. The method helps explaining the main features of the observed
spectra. It is demonstrated that the observed spectra show clear evidence of
superfluorescent emission.
