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Two-dimensional Dirac fermion in presence of an asymmetric vector potential
- 1.0497250 - ÚJF 2019 RIV GB eng J - Journal Article
Ishkhanyan, A. - Jakubský, Vít
Two-dimensional Dirac fermion in presence of an asymmetric vector potential.
Journal of Physics A-Mathematical and Theoretical. Roč. 51, č. 49 (2018), č. článku 495205. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR(CZ) GJ15-07674Y
Institutional support: RVO:61389005
Keywords : Dirac equation * two-dimensional * asymmetric potential * scattering * bound states * exactly solvable
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.110, year: 2018
We introduce the new, exactly solvable model of the two-dimensional Dirac fermion in presence of an asymmetric, Poschl-Teller-like vector potential. Utilizing the translation invariance of the system, the effective one-dimensional stationary equation is brought into the form of the Heun equation and its fundamental solutions are found as an irreducible combination of two Gauss hypergeometric functions. The energy spectrum and the scattering is studied dependant on the conserved longitudinal momentum as well as on the strength of the coupling.
Permanent Link: http://hdl.handle.net/11104/0289817
Number of the records: 1