Harmonic oscillator in the context of the extended uncertainty principle
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50020944" target="_blank" >RIV/62690094:18470/23:50020944 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0217732323500797" target="_blank" >http://dx.doi.org/10.1142/S0217732323500797</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0217732323500797" target="_blank" >10.1142/S0217732323500797</a>
Alternative languages
Result language
angličtina
Original language name
Harmonic oscillator in the context of the extended uncertainty principle
Original language description
At large-scale distances where the space-time is curved due to gravity, a nonzero minimal uncertainty in the momentum, (& UDelta;P)min, is being estimated to emerge. The presence of minimal uncertainty in momentum allows a modification to the quantum uncertainty principle, which is known as the extended uncertainty principle (EUP). In this work, we handle the harmonic oscillator problem in the EUP scenario and obtain analytical exact solutions in classical and semi-classical domains. In the classical context, we establish the equations of motion of the oscillator and show that the EUP-corrected frequency is depending on the energy and deformation parameter. In the semi-classical domain, we derive the energy eigenvalue levels and demonstrate that the energy spectrum depends on n2, as the feature of hard confinement. Finally, we investigate the impact of the EUP on the harmonic oscillator's thermodynamic properties by using the EUP-corrected partition functions in the classical limit in the (A)dS backgrounds.
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
Modern Physics Letters A
ISSN
0217-7323
e-ISSN
1793-6632
Volume of the periodical
38
Issue of the periodical within the volume
14-15
Country of publishing house
SG - SINGAPORE
Number of pages
15
Pages from-to
"Article Number: 2350079"
UT code for WoS article
001066240400004
EID of the result in the Scopus database
2-s2.0-85168945519