Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM
The exact solutions of the (2+1)-dimensional Dirac equation on the torus and the new extension and generalization of the trigonometric Pöschl-Teller potential families in terms of the torus parameters are obtained. Supersymmetric quantum mechanics techniques are used to get the extended potentials w...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/6891402 |
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| _version_ | 1832552897392410624 |
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| author | Özlem Yeşiltaş |
| author_facet | Özlem Yeşiltaş |
| author_sort | Özlem Yeşiltaş |
| collection | DOAJ |
| description | The exact solutions of the (2+1)-dimensional Dirac equation on the torus and the new extension and generalization of the trigonometric Pöschl-Teller potential families in terms of the torus parameters are obtained. Supersymmetric quantum mechanics techniques are used to get the extended potentials when the inner and outer radii of the torus are both equal and inequal. In addition, using the aspects of the Lie algebraic approaches, the iso(2,1) algebra is also applied to the system where we have arrived at the spectrum solutions of the extended potentials using the Casimir operator that matches with the results of the exact solutions. |
| format | Article |
| id | doaj-art-19e2e18900ed4d05813d4a3ae5a6c77a |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-19e2e18900ed4d05813d4a3ae5a6c77a2025-02-03T05:57:31ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/68914026891402Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QMÖzlem Yeşiltaş0Department of Physics, Faculty of Science, Gazi University, 06500 Ankara, TurkeyThe exact solutions of the (2+1)-dimensional Dirac equation on the torus and the new extension and generalization of the trigonometric Pöschl-Teller potential families in terms of the torus parameters are obtained. Supersymmetric quantum mechanics techniques are used to get the extended potentials when the inner and outer radii of the torus are both equal and inequal. In addition, using the aspects of the Lie algebraic approaches, the iso(2,1) algebra is also applied to the system where we have arrived at the spectrum solutions of the extended potentials using the Casimir operator that matches with the results of the exact solutions.http://dx.doi.org/10.1155/2018/6891402 |
| spellingShingle | Özlem Yeşiltaş Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM Advances in High Energy Physics |
| title | Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM |
| title_full | Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM |
| title_fullStr | Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM |
| title_full_unstemmed | Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM |
| title_short | Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM |
| title_sort | dirac equation on the torus and rationally extended trigonometric potentials within supersymmetric qm |
| url | http://dx.doi.org/10.1155/2018/6891402 |
| work_keys_str_mv | AT ozlemyesiltas diracequationonthetorusandrationallyextendedtrigonometricpotentialswithinsupersymmetricqm |