Seminar Analysis and Mathematical Physics: Luca Fresta (University of Bonn)

Effective Dynamics of Extended Fermi Gases at High Density

We consider a system of $N$ interacting fermions initially confined in a 
volume
$\Lambda$. We show that, in the high-density regime and for zero-temperature 
initial data
exhibiting a local semiclassical structure, the solution of the many-body 
Schrödinger equation can be approximated by the solution of the nonlinear 
Hartree equation, up to errors that are small, for large density, uniformly 
in $N$ and $\Lambda$. This is joint work with M. Porta and B. Schlein.
 

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