Noncommuting Coordinates in the Landau Problem

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dc.creatorMagro, Gabrielle
dc.date2003-01-31
dc.date.accessioned2026-07-07T06:06:02Z
dc.date.available2026-07-07T06:06:02Z
dc.descriptionBasic ideas about noncommuting coordinates are summarized, and then coordinate noncommutativity, as it arises in the Landau problem, is investigated. I review a quantum solution to the Landau problem, and evaluate the coordinate commutator in a truncated state space of Landau levels. Restriction to the lowest Landau level reproduces the well known commutator of planar coordinates. Inclusion of a finite number of Landau levels yields a matrix generalization.
dc.description9 pages; senior thesis, submitted to the MIT Physics Department on 17 January 2003; email correspondence to gmagro@mit.edu
dc.identifierhttps://arxiv.org/abs/quant-ph/0302001
dc.identifierhttp://arxiv.org/abs/quant-ph/0302001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90838
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.titleNoncommuting Coordinates in the Landau Problem
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