Energy levels in a finite parabolic quantum dot under applied electric fields

We have calculated the energies of the ground and the first excited states of an electron in a spherical GaAs-Ga_1-xAl_xAs quantum dot with parabolic confinement in the case of both finite and infinite barrier height. We have studied the electric field dependence of the ground state energy of an electron spatially confined in this structure. We have found that the finite height of the confining barrier considerably contributes to the change of the ground state energies, especially for the small dot radii and in the presence of a strong applied electric field