Remarks on magnetic and electric Aharonov-Bohm effects
arXiv:1007.3979
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 Schrödinger equations. Finally we study the gravitational AB effect.
In version 5 a new proof of magnetic AB effect is given based on the relation between solutions of Schrödinger equation and the wave equation