On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50020487" target="_blank" >RIV/62690094:18470/23:50020487 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1140/epjp/s13360-023-03944-z" target="_blank" >https://link.springer.com/article/10.1140/epjp/s13360-023-03944-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/s13360-023-03944-z" target="_blank" >10.1140/epjp/s13360-023-03944-z</a>
Alternative languages
Result language
angličtina
Original language name
On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry
Original language description
In this paper, we study the relativistic quantum dynamics of a neutral Dirac particle with a permanent magnetic dipole moment that interacts with an external magnetic field in the background space-time of a linear topological defect called spiral dislocation. The generalized Dirac wave equation is derived from the full action of that model involving the Lagrangian density of the Dirac spinor field in the background and the interaction model. The energy eigenvalues and corresponding wave functions are found in closed form by reducing the problem to that of a non-relativistic particle moving freely on a plane with a hole at the origin whose radius is determined by the defect parameter. In the limit of vanishing external magnetic field we are also able to establish a hidden SUSY structure of the underlying Dirac Hamiltonian allowing us to discuss the non-relativistic limit in some detail.
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
The European physical journal plus
ISSN
2190-5444
e-ISSN
2190-5444
Volume of the periodical
138
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
8
Pages from-to
"Article Number: 354"
UT code for WoS article
000975393900003
EID of the result in the Scopus database
2-s2.0-85154069533