Dirac equation with space contributions embedded in a quantum-corrected gravitational field
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50022377" target="_blank" >RIV/62690094:18470/25:50022377 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0003491625001149" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0003491625001149</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2025.170033" target="_blank" >10.1016/j.aop.2025.170033</a>
Alternative languages
Result language
angličtina
Original language name
Dirac equation with space contributions embedded in a quantum-corrected gravitational field
Original language description
The Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum corrections to the classical potential. The general idea in choosing the metric is that the spacetime contributions are contained in an external potential or in an electromagnetic potential which can be considered as a good basis for future studies of quantum physics in space. The forms considered for the scalar potential and the so-called vector (magnetic) potential, can be viewed as the multipole expansion of these terms and therefore the approach includes a simultaneous study of multipole expansions to both fields. We also comment on the special case of the problem with merely a relativistic correction in terms of Heun functions. The impossibility of solving our equation for the quantum-corrected Coulomb terms using known exact or quasi-exact nonperturbative analytical techniques is discussed, and finally the Bethe-ansatz approach is proposed to overcome this challenging problem.
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
<a href="/en/project/GA22-18739S" target="_blank" >GA22-18739S: Asymptotic and spectral analysis of operators in mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
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
478
Issue of the periodical within the volume
July
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"Article Number: 170033"
UT code for WoS article
001477063100001
EID of the result in the Scopus database
2-s2.0-105002909084