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arXiv · 1609.00315

Relativistic Killingbeck Energy States Under an External Magnetic Fields

Mahdi Eshghi·Husein Mehraban·Sameer M. Ikhdair
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Abstract

We address the behavior of the Dirac equation with the Killingbeck radial potential including the external magnetic and Aharonov-Bohm (AB) flux fields. The spin and pseudo-spin symmetries are considered. The correct bound state spectra and their corresponding wave functions are obtained. We seek such a solution using the biconfluent Heun differential equation method. Further, we give some of our results at the end of this study. Our final results can be reduced to their non-relativistic forms by simply using some appropriate transformations. The spectra, in the spin and pseudo-spin symmetries, are very similar with a slight difference in energy spacing between different states.

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Mahdi Eshghi, Husein Mehraban, Sameer M. Ikhdair. 2016-08-31. Relativistic Killingbeck Energy States Under an External Magnetic Fields. https://doi.org/10.1140/epja/i2016-16201-4

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