Pramana

, Volume 76, Issue 6, pp 875–885

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

Article

DOI: 10.1007/s12043-011-0104-5

Cite this article as:
AGBOOLA, D. Pramana - J Phys (2011) 76: 875. doi:10.1007/s12043-011-0104-5

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.

Keywords

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

PACS Nos

03.65.Ge 03.65.Pm 

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Copyright information

© Indian Academy of Sciences 2011

Authors and Affiliations

  1. 1.Theoretical Physics Group, Department of MathematicsCovenant UniversityOgun StateNigeria
  2. 2.Department of Mathematics, School of Mathematics and PhysicsThe University of QueenslandBrisbaneAustralia

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