Symmetry limits of (D+1)-dimensional Dirac equation with Möbius square potential

Akpan N. Ikot; B. H. Yazarloo; S. Zarrinkamar; H. Hassanabadi

doi:10.1140/epjp/i2014-14079-1

EPJ

Symmetry limits of (D+1)-dimensional Dirac equation with Möbius square potential

Akpan N. Ikot¹^*, B. H. Yazarloo², S. Zarrinkamar³ and H. Hassanabadi²

¹ Theoretical physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
² Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
³ Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Received: 24 July 2013
Revised: 17 March 2014
Accepted: 18 March 2014
Published online: 8 May 2014

Abstract

In this paper, we present the solutions of the Dirac equation for the Möbius square potential with arbitrary spin orbit coupling number κ under quasi-spin and quasi-pseudospin symmetry limits in (D + 1) dimensions. The parametric Nikiforov-Uvarov method is used to obtain the energy eigenvalues and the corresponding wave functions in closed form. Useful figures and tables are included.