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

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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.

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