Radial solution of Schrödinger equation with generalized inverse Hulthen and Yukawa potentials in topological defect

Abstract

In this work, the generalized inverse Yukawa potential is used to explore the radial Schrödinger equation in three dimensions in a topological defect caused by a point-like global monopole. We analyze the quantum system under the influence of the quantum flux field and see that the angular quantum number l is shifted, that is, which shows an analogue to the Aharonov-Bohm effect. We use a suitable approximation scheme in the centrifugal and reciprocal terms that appear in the radial equation and solve the equation through the parametric Nikiforov-Uvarov method. Afterwards, we consider the potential of the superposition of generalized inverse Hulthen and generalized inverse Yukawa potentials in the quantum system and solve the radial equation using the same technique. The obtained eigenvalue solutions are analyzed for the topological defects of the geometry and the quantum flux and see that the results get shifted in comparison to the flat space case with these potentials.