Stationary States of an Electron in a Prolate Spheroidal Quantum Dot

Abstract— The stationary states of an electron in a nanosized semiconductor quantum dot of spheroidal shape with a deep confining potential are considered. The discrete energy spectrum and corresponding wave functions are very sensitive to the elongation, especially in the region of high eccentricity values. The main attention is paid to identifying the patterns of the radial-angular distribution of electron wave functions, which should play an important role in the angular distribution of photons emitted by the quantum dot.