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Effective evolution equations for many-body fermionic systems

Speaker: 
Niels Benedikter
Institution: 
Copenhagen
Schedule: 
Thursday, December 15, 2016 - 16:15
Location: 
A-136
Abstract: 

Many-body quantum mechanics describes a wide variety of physical systems. Obtaining predictions from the Schrödinger equations, however, is very difficult due to the huge number of degrees of freedom. In certain mean-field regimes this problem can be overcome by deriving effective equations with fewer degrees of freedom. In this talk, I introduce the time-dependent Hartree-Fock equation and discuss its rigorous derivation in some detail. If time permits, I then discuss more recent results and refinements, like mixed states and the Vlasov equation. (Based on joint work with Vojkan Jaksic, Marcello Porta, Chiara Saffirio, and Benjamin Schlein.)

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