Exact solutions of the Dirac equation for the new ring-shaped non-central harmonic oscillator potential
Physics Department, Shahrood University of Technology, Shahrood, Iran
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Revised: 17 February 2013
Accepted: 21 February 2013
Published online: 12 March 2013
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013