Abstract
In the paper, for the polaron bound to a fixed Coulomb origin located at the centre of a polar slab, the energies of the ground state and the excited state as well as the effective mass are investigated by means of the Lee-Low-Pines variation technique. From consideration of the interactions between an electron and both the bulk longitudinal optical (LO) phonon and the surface optical (SO) phonon, the self-energy and the effective mass are derived as functions of slab thickness. Taking GaAs as an example, the authors discuss a number of interesting features.