On some quantum correction to the Coulomb potential in generalized uncertainty principle approach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021534" target="_blank" >RIV/62690094:18470/24:50021534 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.physletb.2024.138603" target="_blank" >https://doi.org/10.1016/j.physletb.2024.138603</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physletb.2024.138603" target="_blank" >10.1016/j.physletb.2024.138603</a>

Result language
angličtina
Original language name
On some quantum correction to the Coulomb potential in generalized uncertainty principle approach
Original language description
Taking into account the importance of the unified theory of quantum mechanics and gravity, and the existence of a minimal length of the order of the Planck scale, we consider a modified Schroedinger equation resulting from a generalized uncertainty principle, which finds applications from the realm of quantum information to largescale physics, with a quantum mechanically corrected gravitational interaction proposed very recently. As the resulting equation cannot be solved by common exact approaches, we propose a Bethe ansatz approach, which will be applied and whose results we will discuss, commenting on the analogy of the present study with some other interesting physical problems.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

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)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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