arXiv:quant-ph/0111050 · Journal of Mathematical Physics

Generalized boundary conditions for the Aharonov–Bohm effect combined with a homogeneous magnetic field

Pavel Exner, Pavel Šťovíček, P. Vytřas

Published May 1, 2002• 40 citations

Abstract

The most general admissible boundary conditions are derived for an idealized 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; the other two parameters of the model are the Aharonov–Bohm flux and the homogeneous magnetic field. The generalized boundary conditions may be regarded as a combination of the Aharonov–Bohm effect with a point interaction. Spectral properties of the derived Hamtonians are studied in detail.

DOI: 10.1063/1.1463712

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