Cargando…

Effective Evolution Equations from Quantum Dynamics

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 (...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Benedikter, Niels (Autor), Porta, Marcello (Autor), Schlein, Benjamin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:SpringerBriefs in Mathematical Physics, 7
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.