A path integral treatment of time-dependent Dunkl quantum mechanics

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

A path integral treatment of time-dependent Dunkl quantum mechanics

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A path integral treatment of time-dependent Dunkl quantum mechanics

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International journal of geometric methods in modern physics

ISSN

0219-8878

e-ISSN

1793-6977

Svazek periodika

22

Číslo periodika v rámci svazku

13

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

16

Strana od-do

"Article number: 2550113"

Kód UT WoS článku

001432203800001

EID výsledku v databázi Scopus

2-s2.0-85218904550