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Effective Evolution Equations from Quantum Dynamics

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Table of Contents

Introduction.- Mean-Field Regime for Bosonic Systems.- Coherent States Approach.-Fluctuations Around Hartree Dynamics.- The Gross-Pitaevskii Regime.- Mean-Field regime for Fermionic Systems.- Dynamics of Fermionic Quasi-Free Mixed States.- The Role of Correlations in the Gross-Pitaevskii Energy.

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