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Quantum Physics

arXiv:2301.07493 (quant-ph)
[Submitted on 14 Jan 2023 (v1), last revised 4 Sep 2023 (this version, v2)]

Title:The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications

Authors:M. Abu-shady, H. M. Fath-Allah
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Abstract:By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential equation is exactly solved in the fractional form. The obtained results are applied on the extended Cornell potential, the pesudoharmonic potential, the Mie potential, the Kratzer-Fues potential, the harmonic oscillator potential, the Morse potential, the Woods-Saxon potential, the Hulthen potential, the deformed Rosen-Morse potential and the Poschl-Teller potential which play an important role in the fields of molecular and hadron physics. The special classical cases are obtained from the fractional cases at ELFA = BETA =1 which are agreements with recent works.
Comments: 15 pages
Subjects: Quantum Physics (quant-ph); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2301.07493 [quant-ph]
  (or arXiv:2301.07493v2 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2301.07493
Journal reference: East European Journal of Physics, (3), 248-262 (2023)
Related DOI: https://doi.org/10.26565/2312-4334-2023-3-22

Submission history

From: Mohamed Abu-Shady [view email]
[v1] Sat, 14 Jan 2023 11:10:37 UTC (594 KB)
[v2] Mon, 4 Sep 2023 19:53:52 UTC (610 KB)
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