The Effect of a Magnetic Flux Line in Quantum Theory

Abstract

The nonloclal exchange of the conserved, gauge invariant quantity $e^{\frac{i}{\hslash }(p_k-\frac{e}{c}{A}_k)L^k},L^k=const.,k=1,2$ between the charged particle and the magnetic flux line (in the $k=3$ direction), is responsible for the Aharonov-Bohm effect. This exchange occurs at a definite time, before the wavepackets are brought together to interfere, and can be verified experimentally.

LaTeX, 13 pages with 3 figures