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

• Main Author: Veselić, Ivan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1917
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; Probabilities.; Probability Theory and Stochastic Processes.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.

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...

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.