Effective Evolution Equations from Quantum Dynamics

• Κύριοι συγγραφείς: Benedikter, Niels (Συγγραφέας), Porta, Marcello (Συγγραφέας), Schlein, Benjamin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: SpringerBriefs in Mathematical Physics, 7
• Θέματα: Physics.; Mathematical physics.; Quantum physics.; Quantum Physics.; Mathematical Physics.

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 (n...

Πίνακας περιεχομένων:

• 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.