# Aharonov-Bohm Effect with $δ$--type Interaction

@article{Dabrowski1998AharonovBohmEW,
title={Aharonov-Bohm Effect with \\delta$\$--type Interaction},
author={L. Da̧browski and P. Stov{\'i}cek},
journal={Journal of Mathematical Physics},
year={1998},
volume={39},
pages={47-62}
}
• Published 1998
• Mathematics, Physics
• Journal of Mathematical Physics
A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux, corresponds to the Aharonov–Bohm effect; the other four parameters correspond to the strength of a singular potential barrier. The spectrum and eigenstates are computed and the scattering problem is solved.
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