Abstract
In the framework of adiabatic approximation the energy levels and direct interband absorption of light in the ensemble of cylindrical quantum dots' having strongly oblate elliptical cross-section are studied. Analytical expressions for the energy spectrum and wave functions of the electron are obtained. For the "slow" subsystem effective potential approximation, parabolic and modified Pöschl-Teller potentials are used. Low-energy levels in the energy spectrum are shown to be equidistant in both cases. Modified Pöschl-Teller potential approximation allows taking into account violation of equidistance of energy levels for higher exited states. Absorption coefficient and edge frequencies are obtained in the strong size quantization regime. Corresponding selection rules for quantum transitions are found.
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