Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential

Popis výsledku anglicky

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.

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

2024

Kód důvěrnosti údajů

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

Název periodika

International Journal of Theoretical Physics

ISSN

0020-7748

e-ISSN

1572-9575

Svazek periodika

63

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

"Article Number: 248"

Kód UT WoS článku

001322035000002

EID výsledku v databázi Scopus

2-s2.0-85205481633