Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators
The theory of random Schrödinger operators is devoted to the mathematical analysis of quantum mechanical Hamiltonians modeling disordered solids. Apart from its importance in physics, it is a multifaceted subject in its own right, drawing on ideas and methods from various mathematical disciplines li...
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| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2008.
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| Edition: | 1st ed. 2008. |
| Series: | Lecture Notes in Mathematics,
1917 |
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| Online Access: | https://doi.org/10.1007/978-3-540-72691-3 |
Table of Contents:
- Random Operators
- Existence of the Integrated Density of States
- Wegner Estimate
- Wegner’s Original Idea. Rigorous Implementation
- Lipschitz Continuity of the IDS.