  In this work, the non-relativistic wave equation via the Schr\"{o}dinger wave
equation under the influence of the Aharonov-Bohm flux field Subject to
physical potentials of various kinds is investigated. These potentials are
modified Coulomb potential, modified harmonic oscillator potential, the
Kratzer-Feus potential, and the Mie-type potential which have wide applications
in different branches of physics and chemistry. We solve the Schrodinger wave
equation using the Nikiforov-Uvarov (NU) method and obtain the energy profiles
and the wave function of the non-relativistic particle, and analyze the effects
of potential and the quantum flux on them. We show that each non-relativistic
energy level gets modified in comparison to the known results obtained in the
literature.
