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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00497250" target="_blank" >RIV/61389005:_____/18:00497250 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8121/aae628" target="_blank" >http://dx.doi.org/10.1088/1751-8121/aae628</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/aae628" target="_blank" >10.1088/1751-8121/aae628</a>

Result language
angličtina
Original language name
Two-dimensional Dirac fermion in presence of an asymmetric vector potential
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/GJ15-07674Y" target="_blank" >GJ15-07674Y: Analysis of quantum systems described by low-dimensional Dirac equation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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