Aharonov-Bohm effect in an attractive inverse-square potential

We search for the Aharonov-Bohm effect for bound states when a point charge is confined to an attractive inverse-square potential. Then, we extend our discussion to the persistent currents and the revival times. In another perspective, we discuss the case in which the centrifugal term is the dominant term. In this case, we confine the point charge to two cylindrical surfaces with impenetrable potential walls and obtain the energy levels. We also discuss the Aharonov-Bohm effect for bound states and persistent currents. Finally, we calculate the revival times.