Adiabatic perturbation theory and the time-dependent Born-Oppenheimer approximation

Friday, January 16, 2009 - 8:30am - 9:15am
EE/CS 3-180
Stefan Teufel (Eberhard-Karls-Universität Tübingen)
Adiabatic perturbation theory is a general scheme that allows for the mathematically rigorous derivation
of effective equations in quantum mechanical slow-fast systems. In this lecture I explain how to justify and
compute corrections to the time-dependent Born-Oppenheimer approximation. In the second part I present
some recent results (jointly with Volker Betz) on computing the dynamics of exponentially small non-adiabatic transitions between
different electronic energy surfaces.
MSC Code: