Publication: Microscopic theory of the Aharonov-Bohm effect
Loading...
Official URL
Full text at PDC
Publication Date
1999-02-15
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
European Physical Society
Citations
Exportar
Abstract
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.
Description
© 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.
UCM subjects
Unesco subjects
Keywords
Citation
[1] Peshkin M. and Tonomura A., The Aharonov-Bohm Effect (Springer-Verlag, Berlin) 1989.
[2] Ehrenberg W. and Siday R., Proc. Phys. Soc. London Ser. B, 62 (1949) 8.
[3] Aharanov Y. and Bohm, Phys. Rev., 115 (1959) 485.
[4] Bocchieri P. and Loinger A., Lett. Nuovo Cimento, 39 (1984) 148.
[5] Liebowitz B., Nuovo Cimento, 38 (1965) 932.
[6] Boyer T. H., Phys. Rev. D, 8 (1973) 1667, 1679; Nuovo Cimento B, 100 (1987) 685.
[7] Mollenstedtand G. and Bayh W., Phys. Blatter, 18 (1962) 299; Naturwiss., 4 (1962) 81.