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Pseudo-Harmonic Oscillatory Ring-Shaped Potential in a Relativistic Equation |
| M. Eshghi** |
1Department of Physics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Iran
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M. Eshghi 2012 Chin. Phys. Lett. 29 110304 |
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Abstract Exact solutions of the Dirac equation are studied for the pseudo-harmonic oscillatory ring-shaped potential by using the Laplace transform approach and the Nikiforov–Uvarov (NU) method. The normalized eigenfunctions are expressed in terms of hyper-geometric series and use the NU and Laplace methods to obtain the eigenvalues equations. The obtained result of the eigenvalue equation is compared. At the end, one can find with a simple transformation the lower spinor component of the Dirac equation.
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Received: 29 June 2012
Published: 28 November 2012
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| PACS: |
03.65.Pm
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(Relativistic wave equations)
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03.65.Ge
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(Solutions of wave equations: bound states)
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02.30.Gp
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(Special functions)
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