Effective Evolution Equations from Quantum Dynamics

Abstract

In these notes we review the material presented at the summer school on "Mathematical Physics, Analysis and Stochastics" held at the University of Heidelberg in July 2014. We consider the time-evolution of quantum systems and in particular the rigorous derivation of effective equations approximating the many-body Schrödinger dynamics in certain physically interesting regimes.

67 pages. Lecture notes of the course held at the summer school "Mathematical Physics, Analysis and Stochastics" at the University of Heidelberg in July 2014