Berry phase in magnetic systems with point perturbations

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dc.creatorExner, Pavel
dc.creatorGeyler, Vladimir A.
dc.date1999-11-13
dc.date.accessioned2026-07-07T06:34:00Z
dc.date.available2026-07-07T06:34:00Z
dc.descriptionWe study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state corresponding to an isolated eigenvalue acquires a Berry phase. We derive an expression for it and evaluate it in several examples such as a homogeneous field, a magnetic whisker, a particle confined at a ring or in quantum dots, a parabolic and a zero-range one. We also discuss the behavior of the lowest Landau level in this setting obtaining an explicit example of the Wilczek-Zee phase for an infinitely degenerated eigenvalue.
dc.descriptionLaTeX, 26 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/9911060
dc.identifierhttp://arxiv.org/abs/quant-ph/9911060
dc.identifierJ. Geom. Phys. 36 (2000), 178-197
dc.identifierdoi:10.1016/S0393-0440(00)00020-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99385
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.titleBerry phase in magnetic systems with point perturbations
dc.typetext

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