The Dirac equation in the presence of Aharonov–Bohm-Coulomb interaction is studied in the framework of the extended uncertainty principle. The equation governing the dynamics of the system is reduced to a differential equation which is solved in terms of the hypergeometric functions as the wave functions of the system. Expressions for the bound-state energies are also obtained analytically. A brief graphical evaluation of our results is also presented.

中文翻译：

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存在扩展不确定性原理的带有Aharonov-Bohm-Coulomb相互作用的二维Dirac方程的束缚态解

在扩展不确定性原理的框架下，研究了存在Aharonov–Bohm-Coulomb相互作用的Dirac方程。控制系统动力学的方程式简化为微分方程式，该方程式可以通过作为系统波动函数的超几何函数来求解。还可以通过分析获得束缚态能量的表达式。还简要介绍了我们的结果。