University of Toronto
               PDE/Applied Math/Analysis Seminar
                 Monday November 7, 3:10-4pm
                       1230 Bahen Center      




SPEAKER:  Jeffrey Schenker (IAS)

TITLE:    Wave propagation in random media: dynamical 
          localization for a many particle system with 
          mean field interactions

ABSTRACT: In one particle quantum mechanics a sufficiently 
          strong random potential can prevent propagation 
          of the wave function and produce intervals of 
          dense point spectrum for the Hamiltonian 
          operator. This phenomenon, known as Anderson 
          localization, has seen many applications in 
          condensed matter physics, with the bounds being 
          applied to many particle systems under the "free 
          electron approximation", where interactions 
          among the particles are neglected.  An important 
          and interesting question is: what happens when 
          the particles are allowed to interact a little 
          bit? I will review the mathematics of 
          localization, discuss the problem one would like 
          to see solved for interacting particles, and 
          describe results for a modified problem 
          incorporating a Hartree-Fock ("mean field") 
          approximation. 

          (Joint work with S. Chiesa.)



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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2005-2006 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Bob Jerrard           rjerrard@ math.toronto.edu
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