Two-dimensional Dirac fermion in presence of an asymmetric vector potential
Result 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.
Keywords
Dirac equationtwo-dimensionalasymmetric potentialscatteringbound statesexactly solvable
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
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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Classification
Type
Jimp - 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)
Result continuities
Project
GJ15-07674Y: Analysis of quantum systems described by low-dimensional Dirac equation
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A-Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
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Volume of the periodical
51
Issue of the periodical within the volume
49
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
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UT code for WoS article
000450217500003
EID of the result in the Scopus database
2-s2.0-85056801390
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Year of implementation
2018