Exotic galilean symmetry in the non-commutative plane, and the Hall effect

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dc.creatorDuval, C.
dc.creatorHorváthy, P. A.
dc.date2001-06-12
dc.date2001-07-17
dc.date.accessioned2026-07-07T10:53:36Z
dc.date.available2026-07-07T10:53:36Z
dc.descriptionQuantum Mechanics in the non-commutative plane is shown to admit the ``exotic'' symmetry of the doubly-centrally-extended Galilei group. When coupled to a planar magnetic field whose strength is the inverse of the non-commutative parameter, the system becomes singular, and ``Faddeev-Jackiw'' reduction yields the ``Chern-Simons'' mechanics of Dunne, Jackiw, and Trugenberger. The reduced system moves according to the Hall law.
dc.descriptionRevised version. The formula for the conserved quantities is corrected; some more references added. 11 pages, LaTex, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0106089
dc.identifierhttp://arxiv.org/abs/hep-th/0106089
dc.identifierJ.Phys.A34:10097-10108,2001
dc.identifierdoi:10.1088/0305-4470/34/47/314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185537
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleExotic galilean symmetry in the non-commutative plane, and the Hall effect
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