论文标题
在存在统一磁场和Aharonov-Bohm电位的情况下，电子在旋转宇宙弦弦时期的相对论量子运动
Relativistic quantum motion of an electron in spinning cosmic string spacetime in the presence of uniform magnetic field and Aharonov-Bohm potential
论文作者
论文摘要
在本手稿中，我们研究了旋转宇宙弦弦时期外部磁场中电子的相对论量子力学。我们获得狄拉克方程，从中写下一阶和二阶方程，然后将这些方程式求解为结合状态。我们表明，有一阶方程的绑定状态解决方案。对于二阶方程，我们表明其波函数是根据kummer函数给出的，并确定粒子的能量。我们检查了能量与模型物理参数的函数的行为，例如旋转，曲率，磁场，Aharonov-bohm通量和量子数。我们的研究表明，当这些参数的值小于0.3时，曲率和旋转都会更加强烈。我们还发现，根据这些参数的值，能量不可允许的水平。
In this manuscript, we study the relativistic quantum mechanics of an electron in external fields in the spinning cosmic string spacetime. We obtain the Dirac equation, write the first and second-order equations from it, and then we solve these equations for bound states. We show that there are bound states solutions for the first-order equation Dirac. For the second-order equation, we show that its wave functions are given in terms of the Kummer functions and we determine the energies of the particle. We examine the behavior of the energies as a function of the physical parameters of the model, such as rotation, curvature, magnetic field, Aharonov-Bohm flux, and quantum numbers. Our study reveals that both curvature and rotation influence more intensely when these parameters have values smaller than 0.3. We also find that, depending on the values of these parameters, there are energy nonpermissible levels.
