2008/01/31 by G. C. Hegerfeldt, G C Hegerfeldt, J T Neumann +1 · 1 citation
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/15/155305
published as J. Phys. A: Math. Theor. 41 (2008) 155305 · 13 pages, 3 figures; minor changes, references added, typo corrected in eq. (16). Accepted for publication in Journal of Physics A
arxiv created 2008/02/27 · openalex publication_date 2008/04/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.