Dunkl-Klein-Gordon Equation in Three-Dimensions: The Klein-Gordon Oscillator and Coulomb Potential

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F22%3A50019498" target="_blank" >RIV/62690094:18470/22:50019498 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00601-022-01776-8" target="_blank" >https://link.springer.com/article/10.1007/s00601-022-01776-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00601-022-01776-8" target="_blank" >10.1007/s00601-022-01776-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dunkl-Klein-Gordon Equation in Three-Dimensions: The Klein-Gordon Oscillator and Coulomb Potential

Popis výsledku v původním jazyce

Recent studies show that deformations in quantum mechanics are inevitable. In this contribution, we consider a relativistic quantum mechanical differential equation in the presence of Dunkl operator-based deformation and we investigate solutions for two important problems in three-dimensional spatial space. To this end, after introducing the Dunkl quantum mechanics, we examine the Dunkl-Klein-Gordon oscillator solutions with the Cartesian and spherical coordinates. In both coordinate systems, we find that the differential equations are separable and their eigenfunctions can be given in terms of the associate Laguerre and Jacobi polynomials. We observe how the Dunkl formalism is affecting the eigenvalues as well as the eigenfunctions. As a second problem, we examine the Dunkl-Klein-Gordon equation with the Coulomb potential. We obtain the eigenvalue, their corresponding eigenfunctions, and the Dunkl-fine structure terms.

Název v anglickém jazyce

Dunkl-Klein-Gordon Equation in Three-Dimensions: The Klein-Gordon Oscillator and Coulomb Potential

Popis výsledku anglicky

Recent studies show that deformations in quantum mechanics are inevitable. In this contribution, we consider a relativistic quantum mechanical differential equation in the presence of Dunkl operator-based deformation and we investigate solutions for two important problems in three-dimensional spatial space. To this end, after introducing the Dunkl quantum mechanics, we examine the Dunkl-Klein-Gordon oscillator solutions with the Cartesian and spherical coordinates. In both coordinate systems, we find that the differential equations are separable and their eigenfunctions can be given in terms of the associate Laguerre and Jacobi polynomials. We observe how the Dunkl formalism is affecting the eigenvalues as well as the eigenfunctions. As a second problem, we examine the Dunkl-Klein-Gordon equation with the Coulomb potential. We obtain the eigenvalue, their corresponding eigenfunctions, and the Dunkl-fine structure terms.

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

2022

Kód důvěrnosti údajů

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

Název periodika

Few-Body Systems

ISSN

0177-7963

e-ISSN

1432-5411

Svazek periodika

63

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

AT - Rakouská republika

Počet stran výsledku

9

Strana od-do

"Article Number: 74"

Kód UT WoS článku

000862419000001

EID výsledku v databázi Scopus

2-s2.0-85139266599