Measures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schroedinger operators

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dc.creatorGruber, Michael J.
dc.date1999-08-25
dc.date.accessioned2026-07-07T06:24:16Z
dc.date.available2026-07-07T06:24:16Z
dc.descriptionFermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We define several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous components in the density of states for symmetric periodic elliptic differential operators acting on vector bundles. This includes Schroedinger operators with periodic magnetic field and rational flux, as well as the corresponding Pauli and Dirac-type operators.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9908026
dc.identifierhttp://arxiv.org/abs/math-ph/9908026
dc.identifierMath. Nachr. 233-234 (2002), 111-127
dc.identifierdoi:10.1002/1522-2616(200201)233:1<111::AID-MANA111>3.0.CO;2-U
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96484
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject58C40, 58G25
dc.titleMeasures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schroedinger operators
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