dorsal/arxiv
View SchemaGeneralised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
| Authors | Pavel Exner, Pavel Stovicek, Petr Vytras |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111050 |
| URL | https://arxiv.org/abs/quant-ph/0111050 |
| DOI | 10.1063/1.1463712 |
| Journal | J. Math. Phys. 43 (2002), 2151-2168 |
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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"abstract": "The most general admissible boundary conditions are derived for an idealised\nAharonov-Bohm flux intersecting the plane at the origin on the background of a\nhomogeneous magnetic field. A standard technique based on self-adjoint\nextensions yields a four-parameter family of boundary conditions; other two\nparameters of the model are the Aharonov-Bohm flux and the homogeneous magnetic\nfield. The generalised boundary conditions may be regarded as a combination of\nthe Aharonov-Bohm effect with a point interaction. Spectral properties of the\nderived Hamiltonians are studied in detail.",
"arxiv_id": "quant-ph/0111050",
"authors": [
"Pavel Exner",
"Pavel Stovicek",
"Petr Vytras"
],
"categories": [
"quant-ph",
"cond-mat",
"math-ph",
"math.MP"
],
"doi": "10.1063/1.1463712",
"journal_ref": "J. Math. Phys. 43 (2002), 2151-2168",
"title": "Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field",
"url": "https://arxiv.org/abs/quant-ph/0111050"
},
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