The Relativistic Bound States of a Non Central Potential
Quantum Physics
2017-04-05 v1 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.1704.00769,
title = {The Relativistic Bound States of a Non Central Potential},
author = {Mahdi Eshgh and Hussain Mehraban and Sameer M. Ikhdair},
journal= {arXiv preprint arXiv:1704.00769},
year = {2017}
}
Comments
20 pages, 12 figures