Remarks on magnetic and electric Aharonov-Bohm effects
Mathematical Physics
2011-09-20 v5 math.MP
Abstract
We give a direct proof of the magnetic Aharonov-Bohm effects without using the scattering theory and the theory of inverse boundary value problems. This proof can serve as a framework for a physical experiment to confirm the magnetic AB effect. We prove also the electric AB effect and we suggest a physical experiment to demonstrate the electric AB effect. In addition, we consider a combined electric and magnetic AB effect and we propose a new inverse problem for the time-dependent Schr\"odinger equations. Finally we study the gravitational AB effect.
Keywords
Cite
@article{arxiv.1007.3979,
title = {Remarks on magnetic and electric Aharonov-Bohm effects},
author = {Gregory Eskin},
journal= {arXiv preprint arXiv:1007.3979},
year = {2011}
}
Comments
In version 5 a new proof of magnetic AB effect is given based on the relation between solutions of Schr\"odinger equation and the wave equation