Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021734" target="_blank" >RIV/62690094:18470/24:50021734 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10773-024-05786-6" target="_blank" >http://dx.doi.org/10.1007/s10773-024-05786-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-024-05786-6" target="_blank" >10.1007/s10773-024-05786-6</a>
Alternative languages
Result language
angličtina
Original language name
Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential
Original language description
This paper presents an investigation into one- and three-dimensional harmonic oscillators with time-dependent mass and frequency, within the framework of the Dunkl formalism, which is constituted by replacing the ordinary derivative with the Dunkl derivative. To ascertain a general form of the wave functions the Lewis-Riesenfeld method was employed. Subsequently, an exponentially changing mass function in time was considered and the parity-dependent quantum phase, energy eigenvalues, and the corresponding wave functions were derived in one dimension. The findings revealed that the mirror symmetries affect the wave functions, thus the associated probabilities. Finally, the investigation was extended to the three-dimensional case, where it was demonstrated that, as with the solution of the radial equation, the solutions of the angular equation could be classified according to their mirror symmetries.
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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Theoretical Physics
ISSN
0020-7748
e-ISSN
1572-9575
Volume of the periodical
63
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
"Article Number: 248"
UT code for WoS article
001322035000002
EID of the result in the Scopus database
2-s2.0-85205481633