In this work, we investigate the spin-half relativistic particles described by the Dirac equation on the topological defect background induced by the cosmic string and torsion with an internal magnetic field. We derive the general expression of the generalized Dirac oscillator on the topological defect background and analyze the analogue of the Aharonov-Bohm effect for the Dirac oscillator with function considered as the Cornell potential, and we explain the influence of related parameters on the energy levels of the studied system.

中文翻译：

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宇宙位错时空中的Aharonov-Bohm对广义狄拉克振荡器的影响

在这项工作中，我们研究由Dirac方程描述的自旋半相对论粒子在宇宙弦和内部磁场引起的拓扑缺陷背景下的拓扑缺陷。我们推导了广义Dirac振荡器在拓扑缺陷背景下的一般表达式，并分析了考虑到功能为康奈尔势的Dirac振荡器的Aharonov-Bohm效应的类似物，并解释了相关参数对Cn能级的影响。研究的系统。