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SUMMARY:Feshbach-Schur RG for the Anderson Model - John Imbrie (University
  of Virginia)
DTSTART:20181026T133000Z
DTEND:20181026T143000Z
UID:TALK112792@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Consider the localization problem for the Anderson model of a 
 quantum particle moving in a random potential. We develop a renormalizatio
 n-group framework based on a sequence of Feshbach-Schur maps. Each map pro
 duces an effective Hamiltonian on a lower-dimensional space by localizing 
 modes in space and in energy. Randomness in ever-larger neighborhoods prod
 uces nontrivial eigenvalue movement and separates eigenvalues\, making the
  next step of the RG possible. We discuss a particularly challenging case 
 where the disorder has a discrete distribution.
LOCATION:Seminar Room 1\, Newton Institute
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