Aharonov-Bohm Effect with $\delta$--type Interaction
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
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.
Cite
@article{arxiv.physics/9612014,
title = {Aharonov-Bohm Effect with $\delta$--type Interaction},
author = {L. Dabrowski and P. Stovicek},
journal= {arXiv preprint arXiv:physics/9612014},
year = {2015}
}
Comments
19 pages, Latex