A path integral treatment of time-dependent Dunkl quantum mechanics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50022181" target="_blank" >RIV/62690094:18470/25:50022181 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0219887825501130" target="_blank" >http://dx.doi.org/10.1142/S0219887825501130</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219887825501130" target="_blank" >10.1142/S0219887825501130</a>
Alternative languages
Result language
angličtina
Original language name
A path integral treatment of time-dependent Dunkl quantum mechanics
Original language description
This study addresses a significant gap in the literature by extending the path integral formalism to time-dependent systems within the Wigner–Dunkl framework, deriving exact propagator solutions for analytically solvable cases. By employing generalized canonical transformations, we reformulated the path integral to develop an explicit expression for the propagator. This formalism is applied to specific cases, including a Dunkl-harmonic oscillator with time-dependent mass and frequency. Solutions for the Dunkl–Caldirola-Kanai oscillator and a model with a strongly pulsating mass are derived, providing exact propagator expressions and corresponding wave functions. These findings extend the utility of Dunkl operators in quantum mechanics, offering new insights into the dynamics of time-dependent quantum systems and possibly find application in quantum optics, plasma physics, and other fields.
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
International journal of geometric methods in modern physics
ISSN
0219-8878
e-ISSN
1793-6977
Volume of the periodical
22
Issue of the periodical within the volume
13
Country of publishing house
SG - SINGAPORE
Number of pages
16
Pages from-to
"Article number: 2550113"
UT code for WoS article
001432203800001
EID of the result in the Scopus database
2-s2.0-85218904550