GEODESICS AROUND A DISLOCATION

One method of gaining some insight into the motion of particles in a m edium with topological defects (e.g., electrons in a dislocated metal) is to look at the geodesics of the medium around the defect. In this work the Hamilton-Jacobi equation for the geodesics in a continuous me dium containing a torsional defect, an edge dislocation, is solved by using perturbation theory to first order in the Burgers vector.