Remarks on magnetic and electric Aharonov-Bohm effects

Details Remarks on magnetic and electric Aharonov-Bohm effects Remarks on magnetic and electric Aharonov-Bohm effects

2010-07-22

arxiv.org/abs/1007.3979v5

Physics

Mathematical Physics

In version 5 a new proof of magnetic AB effect is given based on the relation between solutions of Schr\"odinger equation and

Scientific paper

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.

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