Theoretical and Numerical Investigations of the Energy States and Absorption Coefficients of Quantum Dots and Quantum Anti-Dots in the Presence of a Magnetic Field.

Present study focuses on analyzing the role of magnetic field on electronic spectra and absorption coefficients for the transitions 1 s → 2 p of G a A s / Ga 1 - x Al x A s / G a A s spherical multilayer quantum dot (MLQD) and Ga 1 - x Al x A s / G a A s / Ga 1 - x Al x A s spherical multilayer quantum anti-dot (MLQAD) with hydrogenic impurity, via a comparative view. These nano structure systems have been studied both theoretically (Perturbation Theory), and numerically (Finite Difference Method). The wave functions and energy eigenvalues have been calculated using the finite difference method. In this paper it will be shown that a new degeneracy in presence of the uniform magnetic field in the MLQAD model will be appeared. Furthermore, the effects of the magnetic field, core radius size and potential confinement on 1 s → 2 p 0 absorption coefficient and also on 1 s and 2 p energy states of these nano spherical structures have been discussed. [ABSTRACT FROM AUTHOR]