01-415 Pavel Exner, Pavel Stovicek, Petr Vytras
Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field (57K, LaTeX 2e) Nov 8, 01
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 01-415.tex