Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry
Author
Source
Advances in High Energy Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The Dirac Hamiltonian in the ( 2 + 1 ) -dimensional curved space-time has been studied with a metric for an expanding de Sitter space-time which is two spheres.
The spectrum and the exact solutions of the time dependent non-Hermitian and angle dependent Hamiltonians are obtained in terms of the Jacobi and Romanovski polynomials.
Hermitian equivalent of the Hamiltonian obtained from the Dirac equation is discussed in the frame of pseudo-Hermiticity.
Furthermore, pseudosupersymmetric quantum mechanical techniques are expanded to a curved Dirac Hamiltonian and a partner curved Dirac Hamiltonian is generated.
Using η -pseudo-Hermiticity, the intertwining operator connecting the non-Hermitian Hamiltonians to the Hermitian counterparts is found.
We have obtained a new metric tensor related to the new Hamiltonian.
American Psychological Association (APA)
Yeşiltaş, Özlem. 2015. Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry. Advances in High Energy Physics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052521
Modern Language Association (MLA)
Yeşiltaş, Özlem. Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry. Advances in High Energy Physics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1052521
American Medical Association (AMA)
Yeşiltaş, Özlem. Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry. Advances in High Energy Physics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052521
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052521