Dirac equation with a modified double ring shaped generalized Cornell potential: Extended Nikiforov–Uvarov method

The study reports on the attainment of bound state solutions and the associated relativistic energy eigenvalues of the Dirac equation in the presence of a modified double ring shaped generalized Cornell potential. This is accomplished by using the extended Nikiforov–Uvarov method, which prioritizes the elimination of complexities in determining ansatzs or employing series expansions. In particular, the wave functions are expressed in terms of Heun type polynomials.

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Publication Details

Journal
International Journal of Modern Physics A
Published
2024-12-20
DOI
https://doi.org/10.1142/s0217751x25500046
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
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article

Dirac equation with a modified double ring shaped generalized Cornell potential: Extended Nikiforov–Uvarov method

H. Karayer, Özlem Yeşiltaş, Doğan Demirhan, Arzu Kucuker Kamberli
International Journal of Modern Physics A
Nonlinear Dynamics and Pattern Formation
article

Dirac equation with a modified double ring shaped generalized Cornell potential: Extended Nikiforov–Uvarov method

H. Karayer, Özlem Yeşiltaş, Doğan Demirhan, Arzu Kucuker Kamberli
article en

Abstract

The study reports on the attainment of bound state solutions and the associated relativistic energy eigenvalues of the Dirac equation in the presence of a modified double ring shaped generalized Cornell potential. This is accomplished by using the extended Nikiforov–Uvarov method, which prioritizes the elimination of complexities in determining ansatzs or employing series expansions. In particular, the wave functions are expressed in terms of Heun type polynomials.

International Journal of Modern Physics AVol. 40(05)
Kırklareli University (TR), Ege University (TR), Gazi University (TR)
Openalex Percentile: Top 73%
Nonlinear Dynamics and Pattern Formation
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