Effective Evolution Equations from Quantum Dynamics

By Niels Benedikter, M. Porta, B. Schlein. 2015

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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 Schr\"odinger dynamics in certain physically interesting regimes.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/249226fc290be5bd7e10fee0f92b674a1a65f4d6