Geometric construction of the Quantum Hall Effect in all even dimensions

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dc.creatorMeng, Guowu
dc.date2003-06-13
dc.date2003-08-27
dc.date.accessioned2026-07-07T10:48:08Z
dc.date.available2026-07-07T10:48:08Z
dc.descriptionThe Quantum Hall Effects in all even dimensions are uniformly constructed. Contrary to some recent accounts in the literature, the existence of Quantum Hall Effects does not {\it crucially} depend on the existence of division algebras. For QHE on flat space of even dimensions, both the Hamiltonians and the ground state wave-functions for a single particle are explicitly described. This explicit description immediately tells us that QHE on a higher even dimensional flat space shares the common features such as incompressibility with QHE on plane.
dc.description11 pages, the final published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0306351
dc.identifierhttp://arxiv.org/abs/cond-mat/0306351
dc.identifierJ.Phys.A36:9415-9424,2003
dc.identifierdoi:10.1088/0305-4470/36/36/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183774
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleGeometric construction of the Quantum Hall Effect in all even dimensions
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