Direct interband light absorption in the cylindrical quantum dot with modified Pöschl–Teller potential

In this paper the direct interband light absorption in cylindrical quantum dot with modified Pöschl–Teller potential made of GaAs is studied. For the regime of strong size quantization analytical expressions for the particle energy spectrum, absorption coefficient and dependencies of effective threshold frequencies of absorption on the geometrical sizes of quantum dot are obtained. The selection rules corresponding to different transitions between quantum levels are found. To facilitate the comparison of obtained results with the probable experimental data, size dispersion distribution of growing quantum dots by the geometrical sizes using two experimentally realizing distribution functions has been taken into account. Distribution functions of Lifshits–Slezov and Gaussian have been considered.