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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Dan Blazevski
University of Texas and Georgia Tech
Title: Classical scattering theory and applications to computing invariant manifolds in chemistry

Abstract: Time-dependent scattering theory is a convenient way to study systems subject to an external force that decays in time. In joint work with Rafael de la Llave, we use the formalism from quantum mechanical scattering theory to give rigorous conditions for the wave and scattering maps to exist for generic time-dependent vector fields in $\mathbf{R}^n$. The existence of the wave maps allows us to relate the dynamics of the perturbed system to the unperturbed system, which opens the door for many possible theoretical and computational applications. Lastly, I will discuss more recent work illustrating how the theory thus developed has been successful in giving numerical computations of invariant manifolds appearing in the analysis of laser-driven chemical reactions.

Recording: http://mm.math.cmu.edu/recordings/cna/CNA-DanBlazevski-Feb-23-2012.avi
Recording: http://mm.math.cmu.edu/recordings/cna/CNA-DanBlazevski-Feb-23-2012.mp4
Pdf File: BlazevskiDaniel.pdf
Date: Thursday, February 23, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer