For more information about this meeting, contact Kris Jenssen, Hope Shaffer, Yuxi Zheng.
|Title:||Why are dirty metals bad conductors?|
|Seminar:||Computational and Applied Mathematics Colloquium|
|Speaker:||Dirk Hundertmark, University of Illinois at Urbana-Champaign|
|It is a fact of life that dirty metals are bad conductors. But why is this so?
In this talk we will first briefly discuss the model for electrons in a perfect
crystal given by periodic Schrödinger operators. In nature there are
crystals, however. One will always have randomly distributed
impurities or defects
in the crystalic structure.
In the 1950s, Anderson, a graduate of the UofI high-school (and Nobel prize
winner) invented and studied a model for electrons in a disordered
called the Anderson model. It is the quantum mechanical analogue of a
in a random environment. Its spectral theory has been extensively
studied both by
Physicists and Mathematicians. I will discuss the mathematical
with the emphasis on a simple proof of localization (i.e., trapping of
electrons) for large disorder.|
Room Reservation Information
|Date:||10 / 31 / 2008|
|Time:||03:35pm - 04:25pm|