Effects of Magnetic Monopole and Quantum Flux Field on Eigen Value Spectrum Embedded with Yukawa Potential Including Central Potential

Abstract

The effect of Point like Global Monopole (PGM) topological defects on the energy eigenvalues of quantum systems embedded in Inverse Square Plus Yukawa (ISPY) potential under the influence of Aharonov-Bohm flux field has been studied here. ISPY potential is the superposition of inverse quadratic plus Yukawa potential. The radial part of the Schrödinger equation, a homogenous linear second-order differential equation, is solved under the framework of Asymptotic Iteration Method (AIM). Greene-Aldrich approximation scheme has been used to approximate the centrifugal barrier term which helps to find out the solutions of the Schrödinger equation for arbitrary l states. It is seen that, energy levels of a quantum system is significantly affected by the global effects of the point like global monopole, flux field and effective potential field. PACS number(s): 03.65.-w, 03.65.Ge, 03.65.Vf