Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field

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dc.creatorExner, Pavel
dc.creatorStovicek, Pavel
dc.creatorVytras, Petr
dc.date2001-11-08
dc.date.accessioned2026-07-07T06:33:59Z
dc.date.available2026-07-07T06:33:59Z
dc.descriptionThe 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.
dc.description32 pages, a LaTeX source file with 2 eps figures; submitted to J. Math. Phys
dc.identifierhttps://arxiv.org/abs/quant-ph/0111050
dc.identifierhttp://arxiv.org/abs/quant-ph/0111050
dc.identifierJ. Math. Phys. 43 (2002), 2151-2168
dc.identifierdoi:10.1063/1.1463712
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99382
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.titleGeneralised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
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