The many-electron ground states in anisotropic parabolic quantum dots
are investigated, by means of an unrestricted Hartree-Fock method. Fro
m the total energy, both the chemical potential and the differential c
apacitance of quantum dots are calculated. The effect of the shell str
ucture due to quantization appears clearly in the chemical potential a
nd the capacitance. The difference of the calculated differential capa
citance from the classical one is caused by both the exchange interact
ion and the quantization. As the vertical extent of a dot increases fr
om two-dimensional limit, the change of capacitance is small owing to
cancellation between changes of Hartree term and exchange term, except
at special number of electrons. (C) 1997 Academic Press Limited.