Geodesic
Aharonov--Bohm magnetic effect: approach without vector potential
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 184-187

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The quantum interference Aharonov–Bohm effect is considered. The toroidal solenoid with direct current is chosen as magnetic field source. It is shown that the using geometry of magnetic field source allows obtaining the correct results strict enough without the usual using the concepts of vector potential and generalized momentum. 
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     author = {V. A. Yatsenko and K. V. Yatsenko},
     title = {Aharonov--Bohm magnetic effect: approach without vector potential},
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V. A. Yatsenko; K. V. Yatsenko. Aharonov--Bohm magnetic effect: approach without vector potential. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 184-187. http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a35/