Time-dependent Dunkl-Pauli oscillator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50022537" target="_blank" >RIV/62690094:18470/25:50022537 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s12648-025-03637-6" target="_blank" >https://doi.org/10.1007/s12648-025-03637-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12648-025-03637-6" target="_blank" >10.1007/s12648-025-03637-6</a>
Alternative languages
Result language
angličtina
Original language name
Time-dependent Dunkl-Pauli oscillator
Original language description
This study explores the time-dependent Dunkl-Pauli oscillator in two dimensions. We constructed the Dunkl-Pauli Hamiltonian, which incorporates a time-varying magnetic field and a harmonic oscillator characterized by time-dependent mass and frequency, initially in Cartesian coordinates. Subsequently, we reformulated the Hamiltonian in polar coordinates and analyzed the eigenvalues and eigenfunctions of the Dunkl angular operator, deriving exact solutions using the Lewis-Riesenfeld invariant method. Additionally, we examine the Dunkl-Caldirola-Kanai oscillator as a specific example of a time-dependent system with deformed symmetries, illustrating the effects of time-dependent mass and damping on wave function evolution. Our findings regarding the total quantum phase factor and wave functions reveal the significant impact of Dunkl operators on quantum systems, yielding precise expressions for both wave functions and energy spectra. This work enhances the understanding of quantum systems with deformed symmetries and suggests avenues for future research in quantum mechanics and mathematical physics.
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Indian Journal of Physics
ISSN
0973-1458
e-ISSN
0974-9845
Volume of the periodical
99
Issue of the periodical within the volume
12
Country of publishing house
IN - INDIA
Number of pages
10
Pages from-to
4677-4686
UT code for WoS article
001502601800001
EID of the result in the Scopus database
2-s2.0-105007341894