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The relativistic bound states of a non-central potential
Authors:MAHDI ESHGHI  HOSSEIN MEHRABAN  SAMEER M IKHDAIR
Institution:1.Yang Researchers and Elite Club, Central Tehran Branch,Islamic Azad University,Tehran,Iran;2.Department of Physics,University of Semnan,Semnan,Iran;3.Department of Physics, Faculty of Science,an-Najah National University,Nablus,Palestine;4.Department of Electrical Engineering,Near East University,Mersin 10,Turkey
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.
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