Valence Band Quantization in a Spherical Quantum Dot

An analytical solution of the effective mass equation for a spherical valence band in cubic semiconductors is presented. The full degeneracy of the valence band, i.e. the light-hole, heavy-hole and spin-orbit split-off subbands, were taken into account. The analytical wave functions of the valence band were used for its quantization in a completely isolated (infinite potential barrier approximation) quantum dot. The dependence of discrete valence levels on the dot diameter is presented for the CuCl case.