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arxiv: 1502.02498 · v1 · pith:YSRAW2VJnew · submitted 2015-02-09 · 🧮 math-ph · math.MP

Effective Evolution Equations from Quantum Dynamics

classification 🧮 math-ph math.MP
keywords dynamicseffectiveequationsquantumanalysisapproximatingcertainconsider
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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.

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