1-D Dirac equation in the presence of the Mathieu potential
Department of Sciences, Farhangian University, Tehran, Iran
2 Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran
Accepted: 2 July 2021
Published online: 12 July 2021
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.
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