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Spectral Theory of Random Schrödinger Operators

Lecturer: Prof. Dr. Simone Warzel

Exercises: Michael Fauser

Time and Location

Lecture: M 16:00-17:30, Th 8:30-10:00, MI 03.08.011

Exercises: M 14:15-15:45, MI 03.06.011

Office hours of Michael Fauser: W 15:00-17:00, MI 03.06.021

Summary

This course offers an introduction to the theory of random Schrödinger operators. Such operators describe effects of randomness on the spectra and dynamics of disordered quantum systems. Among the physically interesting effects are Anderson localization and the Quanten Hall Effect. A mathemematical description requires elements of spectral theory on Hilbert spaces which range beyond the narrow interest of random operators. Examples are the relation of spectra and dynamics, ergodic theorems, elements of harmonic analysis and topological concepts in operator theory.

Prerequisite is some familiarity with the theory of Hilbert spaces. The first part of the course will be an introduction to the spectral theory of (bounded) self-adjoint operators.

Lecture Notes

Exercise sheets

Annoucements

Additional literature