AHARONOV-BOHM EFFECT WITH DELTA-TYPE INTERACTION

A quantum particle interacting with a thin solenoid and a magnetic flu x is described by a five-parameter family of Hamilton operators, obtai ned via the method of self-adjoint extensions. One of the parameters, the value of the flux, corresponds to the Aharonov-Bohm effect; the ot her four parameters correspond to the strength of a singular potential barrier. The spectrum and eigenstates are computed and the scattering problem is solved. (C) 1998 American Institute of Physics.