Aharonov-Bohm Effect with $δ$--type Interaction
arXiv:physics/9612014 · doi:10.1063/1.532307
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.
19 pages, Latex