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Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators / by Ivan Veselić

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008Description: Online-Ressource (digital)ISBN:
  • 9783540726913
Subject(s): Additional physical formats: 9783540726890 | Buchausg. u.d.T.: Existence and regularity properties of the integrated density of states of random Schrödinger operators. Berlin : Springer, 2008. X, 142 S.DDC classification:
  • 515.353
  • 515/.724
  • 519.2 23
  • 510 530
MSC: MSC: *82-02 | 82B44RVK: RVK: SI 850 | SK 540LOC classification:
  • QA370-380
  • QC174.17.S3
DOI: DOI: 10.1007/978-3-540-72691-3Online resources: Summary: Random Operators -- Existence of the Integrated Density of States -- Wegner Estimate -- Wegner’s Original Idea. Rigorous Implementation -- Lipschitz Continuity of the IDS.Summary: 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 like functional analysis, selfadjoint operators, PDE, stochastic processes and multiscale methods. The present text describes in detail a quantity encoding spectral features of random operators: the integrated density of states or spectral distribution function. Various approaches to the construction of the integrated density of states and the proof of its regularity properties are presented. The setting is general enough to apply to random operators on Riemannian manifolds with a discrete group action. References to and a discussion of other properties of the IDS are included, as are a variety of models beyond those treated in detail here.PPN: PPN: 1646420977Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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