Eur. Phys. J. Plus (2013) 128: 29
https://doi.org/10.1140/epjp/i2013-13029-9

Regular Article

Exact solutions of the Dirac equation for the new ring-shaped non-central harmonic oscillator potential

Physics Department, Shahrood University of Technology, Shahrood, Iran

^* e-mail: majid.hamzavi@gmail.com

Received: 18 December 2012
Revised: 17 February 2013
Accepted: 21 February 2013
Published online: 12 March 2013

Abstract

In this paper, we present exact solutions of the Dirac equation with equal scalar and vector new ring-shaped non-central harmonic oscillator potentials. The Nikiforov-Uvarov method is used obtaining analytical solutions of radial and polar-angle parts of the Dirac equation. Closed forms of the energy eigenvalues and corresponding eigenfunctions are obtained.