dorsal/arxiv
View SchemaBerry phase for a potential well transported in a homogeneous magnetic field
| Authors | Pavel Exner, Vladimir A. Geyler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005037 |
| URL | https://arxiv.org/abs/quant-ph/0005037 |
| DOI | 10.1016/S0375-9601(00)00608-3 |
| Journal | Phys. Lett. A276 (2000), 16-18 |
Abstract
We consider a two-dimensional particle of charge $e$ interacting with a homogeneous magnetic field perpendicular to the plane and a potential well which is transported along a closed loop in the plane. We show that a bound state corresponding to a simple isolated eigenvalue acquires at that Berry's phase equal to $2\pi {\rm sgn} e$ times the number of flux quanta through the oriented area encircled by the loop. We also argue that this is a purely quantum effect since the corresponding Hannay angle is zero.
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"abstract": "We consider a two-dimensional particle of charge $e$ interacting with a\nhomogeneous magnetic field perpendicular to the plane and a potential well\nwhich is transported along a closed loop in the plane. We show that a bound\nstate corresponding to a simple isolated eigenvalue acquires at that Berry\u0027s\nphase equal to $2\\pi {\\rm sgn} e$ times the number of flux quanta through the\noriented area encircled by the loop. We also argue that this is a purely\nquantum effect since the corresponding Hannay angle is zero.",
"arxiv_id": "quant-ph/0005037",
"authors": [
"Pavel Exner",
"Vladimir A. Geyler"
],
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"quant-ph"
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"doi": "10.1016/S0375-9601(00)00608-3",
"journal_ref": "Phys. Lett. A276 (2000), 16-18",
"title": "Berry phase for a potential well transported in a homogeneous magnetic field",
"url": "https://arxiv.org/abs/quant-ph/0005037"
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