The Effect of Radius Size and Number of Layers of Quantum Anti-Dots on Energy Levels in the Presence of the Applied Magnetic Field

In this paper, based on the perturbation theory, the energy eigenvalues of two, three, and four-layer quantum anti-dots are obtained. Using numerical calculations, the effects of the magnetic field, radius, and the number of layers of these nanostructures are investigated on 1S and 2P energy levels. The results of this study show that increasing the magnetic field, radius and the number of layers of quantum anti-dot increase the 1S and 2P energy levels. Further calculations show that the applied magnetic field sometimes causes new degeneracies, which can be seen in the 2P energy sublevels.