Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017329" target="_blank" >RIV/62690094:18470/20:50017329 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0217732320502788" target="_blank" >http://dx.doi.org/10.1142/S0217732320502788</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0217732320502788" target="_blank" >10.1142/S0217732320502788</a>
Alternative languages
Result language
angličtina
Original language name
Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length
Original language description
Generalized uncertainty principle puts forward the existence of the shortest distances and/or maximum momentum at the Planck scale for consideration. In this article, we investigate the solutions of a two-dimensional Duffin-Kemmer-Petiau (DKP) oscillator within an external magnetic field in a minimal length (ML) scale. First, we obtain the eigen-solutions in ordinary quantum mechanics. Then, we examine the DKP oscillator in the presence of an ML for the spin-zero and spin-one sectors. We determine an energy eigenvalue equation in both cases with the corresponding eigenfunctions in the non-relativistic limit. We show that in the ordinary quantum mechanic limit, where the ML correction vanishes, the energy eigenvalue equations become identical with the habitual quantum mechanical ones. Finally, we employ the Euler-Mclaurin summation formula and obtain the thermodynamic functions of the DKP oscillator in the high-temperature scale.
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
2020
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
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Volume of the periodical
35
Issue of the periodical within the volume
33
Country of publishing house
SG - SINGAPORE
Number of pages
28
Pages from-to
"Article Number: 2050278"
UT code for WoS article
000587717500009
EID of the result in the Scopus database
2-s2.0-85092277664