We study theoretically the excitonic properties of vacuum/GaAs/vacuum
quantum wells. The exciton binding energies are much larger and the ex
citonic radial wave functions much more localized than those of AlxGa1
-xAs/GaAs/AlxGa1-xAs quantum wells. This is due to the enhancement of
the electron-hole interaction by the image-charge effect. The absorpti
on spectra of thin vacuum/GaAs/vacuum quantum wells clearly exhibit no
t only the peaks due to the 1s excitons, but also those due to the 2s
and 3s excitons. The energy of the continuum edge is enhanced since th
e carriers interact with their own image charges.