Mathematics Graduate Students Organization

Seminar:

Date: November 6

In 1958, P.W. Anderson conjectured that an electron could become spatially trapped in a sufficiently impure semiconductor. This is equivalent to the absence of absolutely continuous spectrum in the discrete random Schroedinger operator. Localization has been analytically proven in Z and for sufficiently large disorder in Z² and Z³, while delocalization is expected for small disorder in both instances. I will introduce the discrete 3D random Schroedinger operator, explain theory and justification making numerical experimentation feasible, and discuss results of the experiments.