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    • Dirac equation with spin symmetry for the modified Pöschl–Teller potential in 𝐷 dimensions

      D Agboola

      Volume 76 Issue 6 June 2011 pp 875-885

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/076/06/0875-0885

    • Keywords

       

      Dirac equation; modified Pöschl–Teller potential; spin symmetry; Nikiforov–Uvarov method.

    • Abstract

       

      We present solutions of the Dirac equation with spin symmetry for vector and scalar modified Pöschl–Teller potentials within the framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the Nikiforov–Uvarov method and the two-component spinor wave functions obtained are in terms of the Jacobi polynomials. It is found that there exist only positive energy states for bound states under spin symmetry, and the energy of a level with fixed value of 𝑛, increases with increase in dimension of space time and the potential range parameter 𝛼.

    • Author Affiliations

       

      D Agboola1 2

      1. Theoretical Physics Group, Department of Mathematics, Covenant University, Ogun State, P.M.B.1023, Nigeria
      2. Department of Mathematics, School of Mathematics and Physics, The University of Queensland, Brisbane QLD 4072, Australia

    • Dates

       
      Published
      June 2011
      Manuscript received
      30 October 2010
      Manuscript revised
      3 December 2010
      Accepted
      29 December 2010

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