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Exact Solutions of the Dirac Hamiltonian on the Sphere under Hyperbolic Magnetic Fields
Author
Source
Advances in High Energy Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Two-dimensional massless Dirac Hamiltonian under the influence of hyperbolic magnetic fields is mentioned in curved space.
Using a spherical surface parameterization, the Dirac operator on the sphere is presented and the system is given as two supersymmetric partner Hamiltonians which coincides with the position dependent mass Hamiltonians.
We introduce two ansatzes for the component of the vector potential to acquire effective solvable models, which are Rosen-Morse II potential and the model given Midya and Roy, whose bound states are Jacobi X1 type polynomials, and we adapt our work to these special models under some parameter restrictions.
The energy spectrum and the eigenvectors are found for Rosen-Morse II potential.
On the other hand, complete solutions are given for the second system.
The vector and the effective potentials with their eigenvalues are sketched for each system.
American Psychological Association (APA)
Yeşiltaş, Özlem. 2014. Exact Solutions of the Dirac Hamiltonian on the Sphere under Hyperbolic Magnetic Fields. Advances in High Energy Physics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-452883
Modern Language Association (MLA)
Yeşiltaş, Özlem. Exact Solutions of the Dirac Hamiltonian on the Sphere under Hyperbolic Magnetic Fields. Advances in High Energy Physics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-452883
American Medical Association (AMA)
Yeşiltaş, Özlem. Exact Solutions of the Dirac Hamiltonian on the Sphere under Hyperbolic Magnetic Fields. Advances in High Energy Physics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-452883
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452883