Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM
Author
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yeşiltaş, Özlem. 2018. Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1118175
Modern Language Association (MLA)
Yeşiltaş, Özlem. Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM. Advances in High Energy Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1118175
American Medical Association (AMA)
Yeşiltaş, Özlem. Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1118175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118175