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Wegner’s Original Idea. Rigorous Implementation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1917)

In this section we present a proof of Wegner's estimate following his original ideas in [493]. His proof was originally formulated for the discrete Anderson model. In the meantime, it has been cast into mathematically rigorous form and adapted for continuum Hamiltonians. We follow mostly the arguments of Kirsch [249]. There are proofs of Wegner's estimate by other authors, which make use of the ideas in [493]. Let us mention [353, 352, 280, 281, 169, 94, 93].

Keywords

  • Spectral Projection
  • Multiscale Analysis
  • Small Support
  • Spectral Shift Function
  • Unique Continuation Property

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Wegner’s Original Idea. Rigorous Implementation. In: Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators. Lecture Notes in Mathematics, vol 1917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72691-3_4

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