Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators

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

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)