Microscopic theory of the Aharonov-Bohm effect



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Santos, E. and Gonzalo Fonrodona, Isabel (1999) Microscopic theory of the Aharonov-Bohm effect. Europhysics letters, 45 (4). pp. 418-423. ISSN 0295-5075

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Official URL: http://iopscience.iop.org/0295-5075/45/4/418/


A fully quantum theory of the Aharonov-Bohm effect is presented. It is based on the interaction, mediated by virtual photon exchange, between the traveling electron and the atomic magnetic dipoles of an infinitely long permanent magnet. The calculation involves second-order time-dependent perturbation theory. As expected, the relative phase between the two states -corresponding to the two alternative paths- interfering on the screen agrees with that predicted in the usual theory. However our method may allow to get corrections, for instance due to the size and shape of the electron wave packet, the possible soft-photon emission or the excitation of the atoms in the magnet.

Item Type:Article
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© EDP Sciences. We acknowledge financial support of DGICYT Project No. PB-95-0594 (Spain). We are very grateful to T. W. Marshall and J. L. Sánchez-Gómez for useful comments.

Uncontrolled Keywords:Physics; Multidisciplinary
Subjects:Sciences > Physics > Optics
ID Code:29947
Deposited On:08 May 2015 12:16
Last Modified:08 May 2015 12:16

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