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arXiv · 1704.00769

The Relativistic Bound States of a Non Central Potential

Mahdi Eshgh·Hussain Mehraban·Sameer M. Ikhdair
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Abstract

We investigate the relativistic effects of a moving particle in the field of a pseudo-harmonic oscillatory ring-shaped potential under the spin and pseudo-spin symmetric Dirac wave equation. We obtain the bound state energy eigenvalue equation and the corresponding two-components spinor wave functions by using the formalism of Suppersymmetric Quantum Mechanics (SUSYQM). Furthermore, the non-relativistic limits are obtained by simply making a proper replacement of parameters. The thermodynamic properties are shortly studied. Our numerical results for the energy eigenvalues are presented too.

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Mahdi Eshgh, Hussain Mehraban, Sameer M. Ikhdair. 2017-04-03. The Relativistic Bound States of a Non Central Potential. https://doi.org/10.1007/s12043-017-1375-2

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