In this study, the effect of magnetic field on electronic spectra and optical properties of spherical quantum dot (QD) and quantum anti-dot (QAD) are investigated. The energies and corresponding wave functions are calculated by using the finite difference method and oscillator strengths are obtained based on the dipole approximation approach. Based on perturbation theory, our theoretical results are presented and it will be shown clearly how the magnetic field affects energy levels and intersubband transitions. In the following, our numerical results based on a comparative perspective for both QD and QAD models are given. Our results indicate that in the presence of magnetic field, changes on energy levels and optical properties of QD and QAD are considerably different. In addition, we study the effect of change in core and shell dimensions in the presence of magnetic field on the energy states and oscillator strengths of both nanostructures.

中文翻译：

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磁场对量子点和量子反点能态和光学性质的影响

在这项研究中，研究了磁场对球形量子点（QD）和量子反点（QAD）的电子光谱和光学性质的影响。利用有限差分法计算能量和相应的波函数，并基于偶极子近似法获得振子强度。基于微扰理论，我们提出了我们的理论结果，并将清楚地显示磁场如何影响能级和子带间跃迁。下面，我们给出了基于 QD 和 QAD 模型比较视角的数值结果。我们的结果表明，在存在磁场的情况下，QD 和 QAD 的能级和光学特性的变化有很大不同。此外，