Topological Effects With Inverse Quadratic Yukawa Plus Inverse Square Potential on Eigenvalue Solutions

• URL: http://arxiv.org/abs/2305.04823v1
• Date: Tue, 25 Apr 2023 13:14:36 GMT
• Title: Topological Effects With Inverse Quadratic Yukawa Plus Inverse Square Potential on Eigenvalue Solutions
• Authors: Faizuddin Ahmed
• Abstract summary: We study the non-relativistic Schrodinger wave equation under the influence of quantum flux field. We show that the energy eigenvalues are shifted by the topological defects of a point-like global monopole.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this analysis, we study the non-relativistic Schrodinger wave equation under the influence of quantum flux field with interactions potential in the background of a point-like global monopole (PGM). In fact, we consider an inverse quadratic Yukawa plus inverse square potential and derive the radial equation employing the Greene-Aldrich approximation scheme in the centrifugal term. We determine the approximate eigenvalue solution using the parametric Nikiforov-Uvarov method and analyze the result. Afterwards, we derive the radial wave equation using the same potential employing a power series expansion method in the exponential potential and solve it analytically. We show that the energy eigenvalues are shifted by the topological defects of a point-like global monopole compared to the flat space result. In addition, we see that the energy eigenvalues depend on the quantum flux field that shows an analogue to the Aharonov-Bohm effect

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