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Department of Physics Education, Farhangian University, P. O. Box 14665-889, Tehran, Iran

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Alireza Chenaghlou

Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran

E-mail Address: a.chenaghlou@sut.ac.ir

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, and

Niloofar Azadi

Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran

E-mail Address: niloofarazadi95@gmail.com

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https://doi.org/10.1142/S0217984923500872Cited by:0 (Source: Crossref)

Abstract

For studying the electronic structure of solids consisting of heavy atoms, the Dirac–Kohn–Sham equation is considered in the presence of the Mathieu potential. The two-component spinors and the potential function are expanded in terms of spherical harmonics. Also, a numerical approach is presented to study the Dirac–Kohn–Sham equation in the presence of the noncentral Mathieu potential. Then, the energy eigenvalues and eigenvectors are obtained in the case of spherically expanded potential in the Brillouin zoon by using the mapped Fourier grid method.

Keywords:

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