Form-preserving Darboux transformations for 4 x 4 Dirac equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00556282" target="_blank" >RIV/61389005:_____/22:00556282 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1140/epjp/s13360-022-02611-z" target="_blank" >https://doi.org/10.1140/epjp/s13360-022-02611-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/s13360-022-02611-z" target="_blank" >10.1140/epjp/s13360-022-02611-z</a>
Alternative languages
Result language
angličtina
Original language name
Form-preserving Darboux transformations for 4 x 4 Dirac equations
Original language description
Darboux transformation is a powerful tool for the construction of new solvable models in quantum mechanics. In this article, we discuss its use in the context of physical systems described by 4 x 4 Dirac Hamiltonians. The general framework provides limited control over the resulting energy operator, so that it can fail to have the required physical interpretation. We show that this problem can be circumvented with the reducible Darboux transformation that can preserve the required form of physical interactions by construction. To demonstrate it explicitly, we focus on distortion scattering and spin-orbit interaction of Dirac fermions in graphene. We use the reducible Darboux transformation to construct exactly solvable models of these systems where backscattering is absent, i.e., the models are reflectionless.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Physical Journal Plus
ISSN
2190-5444
e-ISSN
2190-5444
Volume of the periodical
137
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
17
Pages from-to
389
UT code for WoS article
000772443000004
EID of the result in the Scopus database
2-s2.0-85127142670