Exchange effects in the intra and intersubband plasmons of a
quasi-two-dimensional (Q2D) electron gas confined in a quantum well are studied by
means of an extension of the 3D Hubbard dielectric function to the Q2D
case. This dielectric function takes full account of the multisubband
structure of the spectrum of electronic states. The theory is first tested for
semiconductors with a model calculation which yields the expected pattern of
behaviour for low electronic densities and then used to study a metallic
quantum well. The calculations included a total of ten subbands, seven of them
occupied. The main effect of exchange is a tendency to stabilize the plasmon
lifetimes against Landau damping. The long wave dispersion relations of the
lowest 16 normal modes included in the calculation are also substantially
modified.