Beyond the Dirac phase factor

Abstract

We report on previously overlooked solutions of the usual gauge transformation equations that exhibit a new form of nonlocal quantal behavior with the well-known Relativistic Causality of classical fields affecting directly the phases of wavefunctions. The new nonlocalities compete with Aharonov-Bohm behaviors and they provide: a correction to a number of erroneous results in the literature, a new interpretation of semiclassical observations and further extensions to delocalized states, a natural remedy of earlier "paradoxes", and a new formulation in the study of time-dependent slit-experiments.