Point-Like Defect on Radial Solution with generalized q-deformed Hulthen Plus Class of Yukawa Potential under the Influence of Flux Field

Abstract

In this work, we solve the radial Schrödinger wave equation in three dimensions under Aharonov-Bohm (AB) flux field with generalized q-deformed Hulthen potential (GqHP) and class of Yukawa potential (CYP) in a point-like global monopole. We employ the Greene-Aldrich approximation scheme in the centrifugal term and determines the approximate eigenvalue solution using the parametric Nikiforov-Uvarov (NU) method. The eigenvalue solution is then analyzed for the topological defects of the geometry and the magnetic flux field with this potential. Finally, we utilize this eigenvalue solution for some superposed potential models and analyze effects on the eigenvalue solutions. We see that the presence of topological defects and the magnetic flux field modifies the eigenvalue solutions in comparison to the flat space results with this potential. PACS Number(s): 03.65.Pm, 03.65.Ge, 14.80.Hv, 02.30.Gp, 03.65.Vf Mathematics Subject Classification(s): 81T20, 81Q05, 81Q70, 81V17, 33C15