  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
