Approximate eigenvalue solutions with diatomic molecular potential under topological defects and Aharonov-Bohm flux field: application for some known potentials

In this paper, we determine the approximate eigenvalue bound state solution of the radial Schrodinger equation in three-dimension in the presence of the Aharonov-Bohm flux field with two-term diatomic molecular potential in point-like global monopole (PGM) defect. We analyse the effects of factors,...

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Bibliographic Details
Published in:Molecular physics 2022-11, Vol.120 (21)
Main Author: Ahmed, Faizuddin
Format: Article
Language:English
Subjects:
03.65.-w
03.65.Ge
03.65.Vf
Defects
Deformation effects
Eigenvalues
Energy levels
geometric quantum phase
Magnetic flux
non-relativistic wave equation
Quantum theory
Schrodinger equation
solutions of wave equations: bound- state
Topological defect
Topology
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Summary:In this paper, we determine the approximate eigenvalue bound state solution of the radial Schrodinger equation in three-dimension in the presence of the Aharonov-Bohm flux field with two-term diatomic molecular potential in point-like global monopole (PGM) defect. We analyse the effects of factors, such as topological defects, background curvature associated with topological defects as well as the potential. We also show that the energy levels shift due to the presence of the magnetic flux which gives us an analogue of the Aharonov-Bohm effect for the bound state. Finally, we apply the quantum system for some known potential models, such as q-deformed Hulthen-type potential and Manning-Rosen potential, and discussed the effects of various factors on the eigenvalue solutions.
ISSN:0026-8976
1362-3028
DOI:10.1080/00268976.2022.2124935