### Energy estimates for the random displacement model

- Series
- Analysis Seminar
- Time
- Wednesday, March 9, 2011 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Michael Loss – School of Mathematics, Georgia Tech

This talk is about a random Schroedinger operator describing the
dynamics
of an electron in a randomly deformed lattice. The periodic displacement
configurations
which minimize the bottom of the spectrum are characterized. This leads to
an
amusing problem about minimizing eigenvalues of a Neumann Schroedinger
operator
with respect to the position of the potential.
While this conﬁguration is essentially unique for dimension greater than
one, there are inﬁnitely many different
minimizing conﬁgurations in the one-dimensional case.
This is joint work with Jeff Baker, Frederic Klopp, Shu Nakamura and Guenter
Stolz.