Quantization of edge currents for continuous magnetic operators

dc.creatorKellendonk, Johannes
dc.creatorSchulz-Baldes, Hermann
dc.date2004-05-07
dc.date.accessioned2026-07-07T04:31:11Z
dc.date.available2026-07-07T04:31:11Z
dc.descriptionFor a magnetic Hamiltonian on a half-plane given as the sum of the Landau operator with Dirichlet boundary conditions and a random potential, a quantization theorem for the edge currents is proven. This shows that the concept of edge channels also makes sense in presence of disorder. Moreover, Gaussian bounds on the heat kernel and its covariant derivatives are obtained.
dc.identifierhttps://arxiv.org/abs/math-ph/0405021
dc.identifierhttp://arxiv.org/abs/math-ph/0405021
dc.identifierJ. Funct. Anal. 209, 388-413 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57725
dc.subjectMathematical Physics
dc.titleQuantization of edge currents for continuous magnetic operators
dc.typetext

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