John-von-Neumann lecture - Sommersemester 2009
Spectral and Dynamical Effects of Disorder: an Introduction to Random OperatorsProf. Michael Aizenman, Princeton
- Abstract: The course will be focused on a mathematical analysis of the effects of disorder on the dynamical and spectral properties of quantum systems. The theory applies to the Fermi gas of electrons in a metal, with the disorder consisting of randomly placed impurities. Disorder-induced localization plays an important role in such systems' conductivity properties, and in related phenomena such as the quantum Hall effect. In the lectures we shall see how mathematical concepts from functional analysis and probability theory tie in with physics issues. The course goal is to introduce students to a mathematical perspective on this topic and to a number of tools of more general applicability, and also to pass a certain physics perspective to the mathematicians who may be drawn to the subject through its mathematical challenge.
- Prerequisites: basic concepts of functional analysis
- Times: May 18th through June 19th, 2009
- Wed, 10:15 - 11:45, Room MI 03.10.011
- Thu, 14:15 - 15:45, Room MI 02.08.011