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

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  • Massachusetts Institute of Technology (MIT)
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Details

OriginalspracheEnglisch
Seiten (von - bis)111-127
Seitenumfang17
FachzeitschriftMathematische Nachrichten
Jahrgang233-234
PublikationsstatusVeröffentlicht - 24 Juli 2002
Extern publiziertJa

Abstract

Fermi 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 Schrödinger operators with periodic magnetic field and rational flux, as well as the corresponding Pauli and Dirac-type operators.

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Measures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schrödinger operators. / Gruber, Michael J.
in: Mathematische Nachrichten, Jahrgang 233-234, 24.07.2002, S. 111-127.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Gruber MJ. Measures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schrödinger operators. Mathematische Nachrichten. 2002 Jul 24;233-234:111-127. doi: 10.1002/1522-2616(200201)233:1<111::AID-MANA111>3.0.CO;2-U
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