Relativistic Killingbeck energy states under external magnetic fields

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's 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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Correspondence to M. Eshghi.

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Communicated by M. Anselmino

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Eshghi, M., Mehraban, H. & Ikhdair, S.M. Relativistic Killingbeck energy states under external magnetic fields. Eur. Phys. J. A 52, 201 (2016). https://doi.org/10.1140/epja/i2016-16201-4

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