Non-relativistic effects on the interaction of a point charge with a uniform magnetic field in the distortion of a vertical line into a vertical spiral spacetime

摘要

We consider a spacetime with a distortion of a vertical line into a vertical spiral, thus, we analyse non-relativistic effects on the interaction of a point charge with a uniform magnetic field in this spacetime background. In addition, we consider the topological defect spacetime with an internal flux. Then, we analyse the Aharonov?Bohm effect for bound states in the non-relativistic limit by confining the point charge to a hard-wall confining potential, two cylindrical surfaces with rigid walls and a cylindrical surface.