Bound state solutions of the Klein-Fock-Gordon equation with the sum of Manning-Rosen potential and Yukawa potential within SUSYQM

In this study, the bound state solutions of the Klein-Fock-Gordon equation are examined for the sum of Manning-Rosen and Yukawa potential by using a recent improved scheme to deal with the centrifugal term. For any l 0, the energy eigenvalues and corresponding radial wave functions are determined un...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-12, Vol.1416 (1), p.12001
Main Authors: Ahmadov, A. I., Demirci, M., Aslanova, S. M.
Format: Article
Language:English
Subjects:
Eigenvalues
Eigenvectors
Energy levels
Mathematical analysis
Physics
Polynomials
Quantum mechanics
Quantum numbers
Vector potentials
Wave functions
Yukawa potential
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Summary:In this study, the bound state solutions of the Klein-Fock-Gordon equation are examined for the sum of Manning-Rosen and Yukawa potential by using a recent improved scheme to deal with the centrifugal term. For any l 0, the energy eigenvalues and corresponding radial wave functions are determined under the condition of equal scalar and vector potentials. In order to obtain bound state solutions, we use two different methods called supersymmetric quantum mechanics (SUSYQM) and Nikiforov-Uvarov (NU) methods. The identical expressions for the energy eigenvalues are obtained, and the expression of radial wave functions transformations to each other is revealed via both methods. For arbitrary l states, the energy levels and the corresponding normalized eigenfunctions are given in terms of the Jacobi polynomials. A closed form of the normalized wave function is also obtained. It is seen that the energy eigenvalues and eigenfunctions are sensitive to nr radial and l orbital quantum numbers.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1416/1/012001