Path integrals on a flux cone

Abstract

This paper considers the Schrödinger propagator on a cone with the conical singularity carrying magnetic flux (“flux cone”). Starting from the operator formalism, and then combining techniques of path integration in polar coordinates and in spaces with constraints, the propagator and its path integral representation are derived. The approach shows that effective Lagrangian contains a quantum correction term and that configuration space presents features of nontrivial connectivity. © 1998 The American Physical Society.