Topological effects of cosmic string on radial eigenvalue solution with Mie-type potential

In this contribution, we study the non-relativistic Schr & otilde;dinger equation with the interaction potential of Mie-type in the background of the topological defects produced by a cosmic string. We deter-mine the radial eigenvalue solution and analyze the effects of the topological defect. It is shown there that the energy levels and wave function of the non-relativistic quantum particles get modified by the topological defect of the geometry compared to the flat space result with this potential. Afterwards, this eigenvalue solution is utilized in some well-known molecular potential models (Kratzer, modified Kratzer, Coulomb potentials), and presents the eigenvalue solutions.