Study the Energy States and Absorption Coefficients of Quantum Dots and Quantum Anti-Dots with Hydrogenic Impurity Under the Applied Magnetic Field

In this work, the effect of magnetic field on electronic spectra and absorption coefficient of 𝐺𝑎𝐴𝑠/ 𝐺𝑎1−𝑥 𝐴𝑙𝑥𝐴𝑠 spherical quantum dot (QD) and 𝐺𝑎1−𝑥 𝐴𝑙𝑥𝐴𝑠/𝐺𝑎𝐴𝑠 spherical quantum anti-dot (QAD) with hydrogenic impurity are reported both theoretically and numerically. The theoretical results which are obtained based on perturbation theory are in agreement with numerical results, which are obtained by using the finite difference method. Using numerical solutions, energy eigenvalues and eigenfunctions of the Schrödinger equation in these structures are obtained. The effects of the magnetic field on1s→2p0 absorption coefficient and also on 1s and 2p energy levels of the QD and the QAD have been investigated. The wave functions and energies of an electron in these spherical systems, have been studied. The results clearly show that the energy levels changes and absorption coefficients in the QD and QAD models are significantly different. It is also observed some new degeneracies are appeared in the QAD model under the applied magnetic field.