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Pramana

, 88:73 | Cite as

The relativistic bound states of a non-central potential

  • MAHDI ESHGHIEmail author
  • HOSSEIN MEHRABAN
  • SAMEER M IKHDAIR
Article

Abstract

We investigate the relativistic effects of a moving particle in the field of a pseudoharmonic oscillatory ring-shaped potential under the spin and pseudospin symmetric Dirac wave equation. We obtain the bound-state energy eigenvalue equation and the corresponding two-components spinor wave functions by using the formalism of supersymmetric quantum mechanics (SUSYQM). Furthermore, the non-relativistic limits are obtained by simply making a proper replacement of parameters. The thermodynamic properties are also studied. Our numerical results for the energy eigenvalues are also presented.

Keywords

Dirac wave equation supersymmetric quantum mechanics formalism pseudoharmonic oscillatory ring-shaped potential. 

PACS Nos

03.65.Pm 03.65.Ge 02.30.Gp 

Notes

Acknowledgement

The authors would like to thank the kind referee(s) for positive and invaluable suggestions which have greatly improved the manuscript.

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Copyright information

© Indian Academy of Sciences 2017

Authors and Affiliations

  • MAHDI ESHGHI
    • 1
    Email author
  • HOSSEIN MEHRABAN
    • 2
  • SAMEER M IKHDAIR
    • 3
    • 4
  1. 1.Yang Researchers and Elite Club, Central Tehran BranchIslamic Azad UniversityTehranIran
  2. 2.Department of PhysicsUniversity of SemnanSemnanIran
  3. 3.Department of Physics, Faculty of Sciencean-Najah National UniversityNablusPalestine
  4. 4.Department of Electrical EngineeringNear East UniversityMersin 10Turkey

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