Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
arXiv:quant-ph/0111050 · doi:10.1063/1.1463712
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.
32 pages, a LaTeX source file with 2 eps figures; submitted to J. Math. Phys
References in corpus (3)
Cited by in corpus (14)
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