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Measures of Fermi Surfaces and Absence of Singular Continuous Spectrum for Magnetic Schrödinger Operators

✍ Scribed by Michael J. Gruber

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
237 KB
Volume
233-234
Category
Article
ISSN
0025-584X

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✦ Synopsis

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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