Wannier exciton in quantum wells

Abstract

Variational calculations are presented for Wannier excitons in quantum wells for the ground ($1s$) and the excited ($2s$ and $2p$) states, with careful attention to a variety of spatial extensions of these excitons in directions parallel and perpendicular to the well interface. The results are shown to be valid throughout the entire well thickness, corresponding in the thin and the thick limits to two- and three-dimensional situations, respectively.