Pavel Exner, Pavel Stovicek, Petr Vytras
Generalised boundary conditions for the Aharonov-Bohm effect 
combined with a homogeneous magnetic field
(57K, LaTeX 2e)

ABSTRACT.  The most general admissible boundary conditions are derived for an
idealised Aharonov-Bohm flux intersecting the plane at the origin on
the background of a homogeneous magnetic field. A standard technique
based on self-adjoint extensions yields a four-parameter family of
boundary conditions; other two parameters of the model are the
Aharonov-Bohm flux and the homogeneous magnetic field. The
generalised boundary conditions may be regarded as a combination of
the Aharonov-Bohm effect with a point interaction. Spectral
properties of the derived Hamiltonians are studied in detail.