In this paper we investigate temperature dependence of the electron se
lf-energy in the polar-crystal slab using Green-function method. We in
troduce Q2D free Green's function for the first time. Numerical calcul
ations of the electron self-energy using GaAs as an example are perfor
med. The results show that the electron self-energy is a decreasing fu
nction of temperature. In calculation, we consider the effect of the e
xcited states on the electron self-energy and find the ground-state en
ergy be about 11% lower than that of bulk polaron. The results also im
ply that the high excited states pay a larger contribution to the elec
tron self-energy with increasing temperature. (C) 1997 Published by El
sevier Science Ltd.