Berry phase for a potential well transported in a homogeneous magnetic field

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dc.creatorExner, Pavel
dc.creatorGeyler, Vladimir A.
dc.date2000-05-10
dc.date.accessioned2026-07-07T06:33:59Z
dc.date.available2026-07-07T06:33:59Z
dc.descriptionWe 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 $2π{\rm sgn} e$ 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.
dc.description5 pages, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/quant-ph/0005037
dc.identifierhttp://arxiv.org/abs/quant-ph/0005037
dc.identifierPhys. Lett. A276 (2000), 16-18
dc.identifierdoi:10.1016/S0375-9601(00)00608-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99379
dc.subjectQuantum Physics
dc.titleBerry phase for a potential well transported in a homogeneous magnetic field
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