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DTSTART:20070311T020000
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DTSTAMP:20230118T140817
DTSTART;TZID=America/Detroit:20230119T160000
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SUMMARY:Workshop / Seminar:Differential Equations Seminar: The geometry of quantum diffusion
DESCRIPTION:The phenomenon of wave propagation in random environments appears in many physical situations of practical interest. The simplest model for this phenomenon is the Schrodinger equation coupled to a weak random potential\, which describes the evolution of an electron in disordered media. The effect of the disorder is to scatter the wave into random directions. The long-time behavior is described by an effective diffusion equation\, which was first established by ErdÃ¶s\, Salmhofer\, and Yau using sophisticated diagrammatic arguments. In this talk I will describe a new approach to proving this effective limit which uses a wavepacket decomposition of the solution to give a geometric meaning to the diagrams. I will focus on the geometry of the diagrams and state some elementary open problems concerning Euclidean geometry which suggest a path to simpler proofs and stronger results.
UID:102236-21807565@events.umich.edu
URL:https://events.umich.edu/event/102236
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location - https://umich.zoom.us/j/96021646996
CONTACT:
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