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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Main Author: Özlem Yeşiltaş
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/6891402
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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.
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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