Strong-coupling polaron in a parabolic quantum dot is investigated by
the Landau-Pekar variational treatment. The polaron binding energy and
the average number of virtual phonons around the electron as a functi
on of the effective confinement length of the quantum dot are obtained
in Gaussian function approximation. It is shown that both the polaron
binding energy and the average number of virtual phonons around the e
lectron decrease with increasing the effective confinement length. The
results indicate that the polaronic effects are more pronounced in qu
antum dots than those in two-dimensional and three-dimensional cases.