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Results for Working Group on Anderson Localization events from 2019-07-01 to 2020-06-30
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The propagation of an electron in a medium can be described, in its simplest form, by a linear Schrodinger equation with a potential that represents the impurities in the medium. The transport properties (or lack thereof) of the solutions, which determine whether the medium is conducting or insulating, are reflected by the properties of the spectrum of this linear Schrodinger operator. Anderson localization refers to a broad set of results that state that under certain condition, and if the potential is sufficiently random, the spectrum is discrete and as a result solutions (wave functions) are localized in space for all times.
The purpose of this working group is to go through the rigorous proof of this property of random Schrodinger operators.

Seminar organizers: Zaher Hani (zhani@umich.edu) and John Schotland.

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