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 onelectronic spectra and absorption coefficient of 𝐺𝑎𝐴𝑠/𝐺𝑎1−𝑥 𝐴𝑙𝑥𝐴𝑠 spherical quantum dot (QD) and𝐺𝑎1−𝑥 𝐴𝑙𝑥𝐴𝑠/𝐺𝑎𝐴𝑠 spherical quantum anti-dot (QAD)with hydrogenic impurity are reported both theoreticallyand numerically. The theoretical results which areobtained based on perturbation theory are in agreementwith numerical results, which are obtained by using thefinite difference method. Using numerical solutions,energy eigenvalues and eigenfunctions of the Schrödingerequation in these structures are obtained. The effects ofthe magnetic field on1s→2p0 absorption coefficient andalso on 1s and 2p energy levels of the QD and the QADhave been investigated. The wave functions and energiesof an electron in these spherical systems, have beenstudied. The results clearly show that the energy levelschanges and absorption coefficients in the QD and QADmodels are significantly different. It is also observedsome new degeneracies are appeared in the QAD modelunder the applied magnetic field.