Relativistic solutions of generalized-Dunkl harmonic and anharmonic oscillators

Abstract Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very recently, one of the authors of this manuscript presented one of the most general forms of Dunkl derivative that depends on three Wigner parameters to have a better tuning. In this manuscript, we e...

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Published inPhysica scripta Vol. 97; no. 12; pp. 125305 - 125314
Main Authors Hassanabadi, S, Kříž, J, Lütfüoğlu, B C, Hassanabadi, H
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2022
Subjects
generalized Dunkl operator
parity dependent solutions
QES and NU methods
relativistic anharmonic oscillator
relativistic harmonic oscillator
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Summary:Abstract Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very recently, one of the authors of this manuscript presented one of the most general forms of Dunkl derivative that depends on three Wigner parameters to have a better tuning. In this manuscript, we employ the latter generalized Dunkl derivative in a relativistic equation to examine two dimensional harmonic and anharmonic oscillators solutions. We obtain the solutions by Nikiforov-Uvarov and quasi-exact solvability (QES) methods, respectively. We show that degenerate states can occur according to the Wigner parameter values.
Bibliography:PHYSSCR-118729.R1
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/aca2f7