Charged particle with magnetic moment in the background of line topological defect

Abstract

Using a description of defects in solids in terms of three-dimensional gravity, we will consider a charged quantum particle with spin placed in the field of a non-uniform magnetic flux in space with a topological defect, namely, a disclination or screw dislocation. We have found the exact expression for the energy eigenvalues and eigenfunctions for the quantum particle in a medium with magnetic field proportional to 1/ ρ.