Calculations of spectral and optical characteristics of spheroidal quantum dot ensembles

In the effective mass approximation for electron (hole) states of a spheroidal quantum dot with and without external fields the perturbation theory schemes are constructed in the framework of the Kantorovich and adiabatic methods. The eigenvalues and eigenfunctions of the problem, obtained in both analytical and numerical forms, are applied to the analysis of the absorption coefficient for an ensemble of spheroidal quantum dots with random dimensions of the minor semiaxis and with parabolic or non-parabolic dispersion laws for holes and electrons, affected by a homogeneous electric field, i.e., the quantum-confined Stark effect.