Exact solution to two dimensional Dunkl harmonic oscillator in the Non-Commutative phase-space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50020410" target="_blank" >RIV/62690094:18470/23:50020410 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1140/epjp/s13360-023-03933-2" target="_blank" >http://dx.doi.org/10.1140/epjp/s13360-023-03933-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/s13360-023-03933-2" target="_blank" >10.1140/epjp/s13360-023-03933-2</a>
Alternative languages
Result language
angličtina
Original language name
Exact solution to two dimensional Dunkl harmonic oscillator in the Non-Commutative phase-space
Original language description
In this paper, we examine the harmonic oscillator problem in non-commutative phase space (NCPS) by using the Dunkl derivative instead of the habitual one. After defining the Hamilton operator, we use the polar coordinates to derive the binding energy eigenvalue. We find eigenfunctions that correspond to these eigenvalues in terms of the Laguerre functions. We observe that the Dunkl-Harmonic Oscillator in the NCPS differs from the ordinary one in the context of providing additional information on the even and odd parities. Therefore, we conclude that working with the Dunkl operator could be more appropriate because of its rich content.
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
7
Pages from-to
"Article Number: 331"
UT code for WoS article
000970755800001
EID of the result in the Scopus database
2-s2.0-85153281428