  This research paper delves into the study of a non-relativistic quantum
system, considering the interplay of non-inertial effects induced by a rotating
frame and confinement by the Aharonov-Bohm (AB) flux field with potential in
the backdrop of topological defects, specifically a screw dislocation. We first
focus on the harmonic oscillator problem, incorporating an inverse-square
repulsive potential. Notably, it becomes evident that the energy eigenvalues
and wave functions are intricately influenced by multiple factors: the
topological defect parameter $\beta$ (representing the screw dislocation), the
presence of a rotating frame engaged in constant angular motion with speed
$\Omega$, and the external potential. Then we study the quantum behavior of
non-relativistic particles, engaging in interactions governed by an inverse
square potential, all while taking into account the effects of the rotating
frame. In both scenarios, a significant observation is made: the quantum flux
field's existence brings about a shift in the energy spectrum. This phenomenon
bears a resemblance to the electromagnetic Aharonov-Bohm effect.
