Abstract
We investigate theoretically the magnetooptical properties of a narrow-gap semiconductor quantum well and emphasize the important differences brought about by the strong confinement. The subband structure as well as the absorption spectra for two polarizations, Faraday and Voigt, differ from those of the bulk and inversion layer. We find a distinct advantage for the gain spectrum resulting from the inhibition of the optical-phonon interaction with the electrons. We make estimates of inversion asymmetry effects and derive boundary conditions at an insulating interface in the presence of a strong magnetic field.