Supersymmetric analysis of the Dirac-Weyl operator within $\mathcal{PT}$PT symmetry

Two-dimensional effective Hamiltonian for a massless Dirac electron interacting with a hyperbolic magnetic field is discussed within \documentclass[12pt]{minimal}\begin{document}$\mathcal{PT}$\end{document}PT symmetry. Factorization method and polynomial procedures are used to solve Dirac equation f...

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Veröffentlicht in:Journal of mathematical physics 2014-08, Vol.55 (8), p.2580-2583
1. Verfasser: Yeşiltaş, Özlem
Format: Artikel
Sprache:eng
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Zusammenfassung:Two-dimensional effective Hamiltonian for a massless Dirac electron interacting with a hyperbolic magnetic field is discussed within \documentclass[12pt]{minimal}\begin{document}$\mathcal{PT}$\end{document}PT symmetry. Factorization method and polynomial procedures are used to solve Dirac equation for the constant Fermi velocity and the effective potential which is complex Scarf II potential. The more general effective Scarf II potential models are also obtained within pseudo-supersymmetry. Finally, an extension of Panella and Roy's work [Phys. Lett. A 376, 2580–2583 (2012)] to the both \documentclass[12pt]{minimal}\begin{document}$\mathcal{PT}$\end{document}PT symmetric and real Scarf II partner potentials is given using the position dependent Fermi velocity.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4891925