Two-dimensional Dirac fermion in presence of an asymmetric vector potential

0497250 - ÚJF 2019 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GJ15-07674Y
Institucionální podpora: RVO:61389005
Klíčová slova: Dirac equation * two-dimensional * asymmetric potential * scattering * bound states * exactly solvable
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.110, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0289817