ABSTRACT In this study, we present a detailed theoretical investigation of the effect of an externally applied magnetic field on the energy states , , and in the spherical quantum dot with finite and infinite confinement potentials. For both finite and infinite spherical quantum dot, the first four electron energies, Zeeman transition energies between these electronic states and optical absorption coefficients between the related states with and without magnetic field are investigated. The results show that the confinement potential, magnetic field and dot radius have a strong effect on energy states, Zeeman transition energies and absorption coefficients especially in the large dot radii. In the small dot radii, energy levels are relatively insensitive to the magnetic field because the spatial confinement of the electron prevails over the magnetic confinement. As changes from to , the peak positions of the optical absorptions shift to higher energy values (blue shift). The absorption peaks for the infinite quantum dot are localised in higher photon energies those that of the finite quantum dot. The magnetic field causes that the degeneration of energies to be removed and the peak positions of transitions corresponding to shift towards to blue in contrast to the cases of and .

中文翻译：

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磁场下限制在球形量子点中的电子的塞曼分裂、塞曼跃迁和光吸收

摘要 在这项研究中，我们对外部施加的磁场对能量状态 、 以及具有有限和无限约束势的球形量子点的影响进行了详细的理论研究。对于有限和无限球形量子点，研究了前四个电子能量、这些电子态之间的塞曼跃迁能以及相关态之间有无磁场的光吸收系数。结果表明，限制势、磁场和点半径对能态、塞曼跃迁能和吸收系数有很强的影响，尤其是在大点半径下。在小圆点半径内，能级对磁场相对不敏感，因为电子的空间限制优于磁限制。随着从 到 的变化，光吸收的峰值位置移动到更高的能量值（蓝移）。无限量子点的吸收峰位于有限量子点的那些更高的光子能量中。与 和 的情况相比，磁场导致能量的退化被移除并且对应于向蓝色移动的跃迁的峰值位置。