Ivan Veselic

Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 147
• Erscheinungstermin: 8. Dezember 2007
• Englisch
• ISBN-13: 9783540726913
• Artikelnr.: 44134197

Autorenporträt

Ivan Veselic, Technical University Chemnitz, Germany

Inhaltsangabe

Random Operators.- Existence of the Integrated Density of States.- Wegner Estimate.- Wegner's Original Idea. Rigorous Implementation.- Lipschitz Continuity of the IDS.

Rezensionen

From the reviews:

"The aim of this small book is to give an overview of old and new results and methods in the spectral theory of random Schrödinger operators. ... The book ends with a bibliography of 501 items. It will be very useful for researchers interested in the quantum mechanics of disordered solids. It is accessible to graduate students with some knowledge on operator theory." (Dominique Lepingle, Zentralblatt MATH, Vol. 1189, 2010)

"The present lecture notes give a well written introduction to continuity properties of the integrated density of states (IDS) of random Schrödinger operators. ... it is a pleasant contribution to the current literature which will be useful for both graduate students and researchers interested in this active area." (G. Teschl, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)