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].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(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
Download citation
DOI: https://doi.org/10.1007/978-3-540-72691-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72689-0
Online ISBN: 978-3-540-72691-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)