Supersymmetric analysis of the Dirac-Weyl operator within PT symmetry
JOURNAL OF MATHEMATICAL PHYSICS, cilt.55, sa.8, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 8
- Basım Tarihi: 2014
- Doi Numarası: 10.1063/1.4891925
- Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
Two-dimensional effective Hamiltonian for a massless Dirac electron interacting with a hyperbolic magnetic field is discussed within 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 PT symmetric and real Scarf II partner potentials is given using the position dependent Fermi velocity. (C) 2014 AIP Publishing LLC.