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Relativistic Killingbeck energy states under external magnetic fields

  • M. Eshghi
  • H. Mehraban
  • S. M. Ikhdair
Regular Article - Theoretical Physics

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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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Researchers and Elite Club, Central Tehran BranchIslamic Azad UniversityTehranIran
  2. 2.Faculty of PhysicsSemnan UniversitySemnanIran
  3. 3.Department of Physics, Faculty of ScienceAn-Najah National UniversityNablus, West BankPalestine
  4. 4.Department of Electrical EngineeringNear East UniversityNicosia, Northern CyprusTurkey

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