Polaronic states in a parabolic quantum dot are investigated by using
the second order Rayleigh-Schrodinger perturbation theory. It is shown
that the absolute values of the ground state energy correction and th
e excited state energy correction as well as the relevant transition e
nergies increase with decreasing the size of the quantum dot. The resu
lts also indicate that the polaron effects in small quantum dots are s
tronger than those in the corresponding bulk materials.