On the gauge invariance of Wigner-Dunkl quantum mechanics in the presence of a constant magnetic field
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50020576" target="_blank" >RIV/62690094:18470/23:50020576 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0003491623001227?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0003491623001227?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2023.169336" target="_blank" >10.1016/j.aop.2023.169336</a>
Alternative languages
Result language
angličtina
Original language name
On the gauge invariance of Wigner-Dunkl quantum mechanics in the presence of a constant magnetic field
Original language description
In this paper we consider a charged Wigner-Dunkl quantum system in the presence of a constant magnetic field. It is shown that this system obeys gauge invariance if minimally coupled to a vector potential following the Dunkl-Maxwell relations. A family of vector potentials, which generate the constant magnetic field, is constructed explicitly. The gauge invariance of the Wigner-Dunkl quantum system is established with a gauge transformation exhibiting a deformed unitarity. For vector potentials following the standard Maxwell relations it is not possible to establish gauge invariance for the Wigner-Dunkl quantum system. & COPY; 2023 Elsevier Inc. All rights reserved.
Czech name
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Czech description
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Classification
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
10303 - Particles and field physics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Physics
ISSN
0003-4916
e-ISSN
1096-035X
Volume of the periodical
454
Issue of the periodical within the volume
July
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
"Article Number: 169336"
UT code for WoS article
001030492800001
EID of the result in the Scopus database
2-s2.0-85159134881