Math 699: VIGRE Seminar - Random Schrödinger Operators
Description:
We study the spectral theory of random Schrödinger operators on the lattice. In particular, we discuss the integrated density of states and the phenomenon of Anderson localization. The main text for the seminar is given by Kirsch's summer school lecture notes mentioned below.
Meeting Time: W 12:00 PM -- 12:50 PM
Location: Herman Brown 423
Website: http://www.ruf.rice.edu/~dtd3/Ma699_Fall07
Texts:
R. Carmona and J. Lacroix, Spectral Theory of Random Schrödinger Operators, Birkhäuser, Boston, 1990
W. Kirsch, An Invitation to Random Schrödinger Operators, in preparation
B. Simon, Spectral analysis of rank one perturbations and applications, in Mathematical quantum theory. II. Schrödinger operators (Vancouver, BC, 1993), 109--149, CRM Proc. Lecture Notes, 8, Amer. Math. Soc., Providence, RI, 1995