The Aharonov-Bohm effect: the role of tunneling and associated forces

Details The Aharonov-Bohm effect: the role of tunneling and associated forces The Aharonov-Bohm effect: the role of tunneling and associated forces

2008-01-05

arxiv.org/abs/0801.0799v2

J. Phys. A: Math. Theor. 41 (2008) 155305

Physics

Quantum Physics

13 pages, 3 figures; minor changes, references added, typo corrected in eq. (16). Accepted for publication in Journal of Physi

Scientific paper

10.1088/1751-8113/41/15/155305

Through tunneling, or barrier penetration, small wavefunction tails can enter a finitely shielded cylinder with a magnetic field inside. When the shielding increases to infinity the Lorentz force goes to zero together with these tails. However, it is shown, by considering the radial derivative of the wavefunction on the cylinder surface, that a flux dependent force remains. This force explains in a natural way the Aharonov-Bohm effect in the idealized case of infinite shielding.

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