Solution of an Extended Aharonov-Bohm Problem in a Theory of Dislocation Scattering

Abstract
A tight-binding equation for an electron in a dislocated lattice is reduced to the Schrödinger equation for a free particle with a subsidiary condition which expresses a certain discontinuity in a wave function. The scattering problem is solved in the same manner employed previously to study a solution of the Aharonov-Bohm problem.