  The effect of quantum dot shape on the hole energy spectrum and optical
properties caused by the interlevel charge transition based on the 4x4
Hamiltonian has been studied for the GaAs quantum dot in the AlAs semiconductor
matrix. Calculations have been carried out in perturbation theory taking into
account the hybridization of states for cubic, ellipsoidal, cylindrical and
tetrahedral shapes by changing the volume of a quantum dot. Based on the energy
calculations and on the determined wave functions of the hole states we have
defined the selection rules and the dependence of the interlevel hole
absorption coefficient on QD shapes and volumes.
