Effective Evolution Equations from Quantum Dynamics
Cham : Springer International Publishing : Imprint: Springer, 2016
Abstract/Sommario:
These notes investigate 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. The focus is primarily on the derivation of time-dependent effective theories (non-equilibrium question) approximating many-body quantum dynamics. The book is divided into seven sections, the first of which briefly reviews the main properties of many-body quantum system ...; [leggi tutto]
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Descrizione | Effective Evolution Equations from Quantum Dynamics / by Niels Benedikter, Marcello Porta, Benjamin Schlein. - 1st ed. 2016. - Cham : Springer International Publishing : Imprint: Springer, 2016. - VII, 91 p ; online resource. - (SpringerBriefs in Mathematical Physics ; 7) |
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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. - Springer eBooks. - Printed edition: 9783319248967
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ID scheda | 139064 |
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