Dunkl-Klein-Gordon equation in higher dimensions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50022492" target="_blank" >RIV/62690094:18470/25:50022492 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1142/S0217732325500944" target="_blank" >http://dx.doi.org/10.1142/S0217732325500944</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217732325500944" target="_blank" >10.1142/S0217732325500944</a>

Result language

angličtina

Original language name

Dunkl-Klein-Gordon equation in higher dimensions

Original language description

In this study, we replace the standard partial derivatives in the Klein-Gordon equation with Dunkl derivatives and obtain exact analytical solutions for the eigenvalues and eigenfunctions of the Dunkl-Klein-Gordon equation in higher dimensions. We apply this formalism to two key quantum mechanical systems: the d-dimensional harmonic oscillator and the Coulomb potential. First, we introduce Dunkl quantum mechanics in d-dimensional hyperspherical coordinates, followed by an analysis of the d-dimensional Dunkl-Klein-Gordon oscillator. Subsequently, we derive the energy spectrum and eigenfunctions, which are expressed using confluent hypergeometric functions. Furthermore, we examine the impact of the Dunkl formalism on both the eigenvalues and eigenfunctions. In the second case, we explore both the bound-state solutions and scattering scenarios of the Dunkl-Klein-Gordon equation with the Coulomb potential. The bound-state solutions are represented in terms of confluent hypergeometric functions, while the scattering states enable us to compute the particle creation density and probability using the Bogoliubov transformation method.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10303 - Particles and field physics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

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

Name of the periodical

Modern Physics Letters A

ISSN

0217-7323

e-ISSN

1793-6632

Volume of the periodical

40

Issue of the periodical within the volume

25

Country of publishing house

SG - SINGAPORE

Number of pages

22

Pages from-to

"Article number: 2550094"

UT code for WoS article

001497458100001

EID of the result in the Scopus database

2-s2.0-105006633313