Beyond the Dirac phase factor

TL;DR

This paper uncovers overlooked solutions to gauge transformation equations revealing nonlocal quantum effects influenced by classical fields, challenging traditional Aharonov-Bohm interpretations and offering new insights into quantum causality and experiments.

Contribution

It introduces a novel class of nonlocal solutions to gauge equations, correcting past misconceptions and expanding the understanding of quantum phases and causality.

Findings

Identifies new nonlocal quantum phase behaviors influenced by classical fields

Provides corrections to previous literature on gauge transformations

Offers a new framework for analyzing time-dependent quantum experiments

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.