# Spectral Theory of Random Schrödinger Operators

## Time and Location

W F 10:15-11:45, MI 03.08.011

## 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 and self-adjoint operators.

## Lecture Notes

RandomOps.pdf
## Annoucements

Friday, 19.5. the lecture starts at 10:00 (s.t.)
There will be no lectures on June 2nd and June 4th.

## Additional literature

- R. Carmona and J.Lacroix, Spectral theory of random Schrödinger operators, Birkhäuser, Boston, MA, 1990
- W. Kirsch, An invitation to random Schrödinger operators
- W. Kirsch, Random Schrödinger operators: a course, pp. 264–370 in H. Holden and A. Jensen (Eds.), Schrödinger operators, Lecture Notes in Physics 345, Springer, Berlin, 1989
- L. Pastur and A. Figotin, Spectra of random and almost-periodic operators, Springer, Berlin, 1992