Semi-classical limit of large fermionic systems at positive temperature

Spectral Methods in Mathematical Physics

27 February 17:00 - 18:00

Arnaud Triay - CEREMADE

In this talk I will present some recent results on semi-classical limit of large fermionic systems at positive temperature. This is joint work with Mathieu Lewin and Peter Madsen.
We derive the Vlasov free energy with the fermionic entropy, s(x) = x log x + (1-x) log(1-x), from the many-body theory. After introducing the setting and the results, I will explain the main ideas of the proof. I will probably end by digressing and talk about the equivalence of ensembles in the thermodynamic limit which is a key notion in this study.
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich


Rupert Frank


For practical matters at the Institute, send an e-mail to