dorsal/arxiv
View SchemaAharonov-Bohm Effect with $\delta$--type Interaction
| Authors | L. Dabrowski, P. Stovicek |
|---|---|
| Categories | |
| ArXiv ID | physics/9612014 |
| URL | https://arxiv.org/abs/physics/9612014 |
| DOI | 10.1063/1.532307 |
| Journal | J. Math. Phys. 39, 47-62, 1998 |
Abstract
A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux, corresponds to the Aharonov-Bohm effect; the other four parameters correspond to the strength of a singular potential barrier. The spectrum and eigenstates are computed and the scattering problem is solved.
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"abstract": "A quantum particle interacting with a thin solenoid and a magnetic flux is\ndescribed by a five-parameter family of Hamilton operators, obtained via the\nmethod of self-adjoint extensions. One of the parameters, the value of the\nflux, corresponds to the Aharonov-Bohm effect; the other four parameters\ncorrespond to the strength of a singular potential barrier. The spectrum and\neigenstates are computed and the scattering problem is solved.",
"arxiv_id": "physics/9612014",
"authors": [
"L. Dabrowski",
"P. Stovicek"
],
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"doi": "10.1063/1.532307",
"journal_ref": "J. Math. Phys. 39, 47-62, 1998",
"title": "Aharonov-Bohm Effect with $\\delta$--type Interaction",
"url": "https://arxiv.org/abs/physics/9612014"
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