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1-D Dirac equation in the presence of the Mathieu potential
The European Physical Journal Plus ( IF 3.4 ) Pub Date : 2021-07-12 , DOI: 10.1140/epjp/s13360-021-01726-z
Sohrab Aghaei 1 , Alireza Chenaghlou 2 , Niloofar Azadi 2
Affiliation  

The Dirac equation in the presence of the scalar and vector potentials is considered. In the case of spin symmetry, the corresponding Schrödinger-like equation in the presence of Mathieu potential is solved. The energy eigenvalues and eigenfunctions are obtained by using Fourier grid method, numerically. The numerical results are in good approximation with the analytical results. Then, by using the same method, the relativistic energy eigenvalues and eigenspinors are calculated.



中文翻译:

存在 Mathieu 势的一维狄拉克方程

考虑存在标量势和矢量势的狄拉克方程。在自旋对称的情况下,在存在 Mathieu 势的情况下求解相应的类薛定谔方程。能量特征值和特征函数是通过使用傅立叶网格方法,从数值上获得的。数值结果与解析结果非常接近。然后,使用相同的方法,计算相对论能量特征值和特征旋量。

更新日期:2021-07-12
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