Benedikter Lab

University of Milan

Nord-Ovest (ITC) · Italy

ERC-funded
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ERC Starting Grant · 2021

The Mathematics of Interacting Fermions

The quantum many-body problem presents us with a baffling variety of phenomena whose mathematical understanding is just leaving infancy. One of the most prominent examples is the behavior of electrons in condensed matter: surprisingly, despite the presence of strong interactions between particles in the microscopic Schroedinger equation, on a macroscopic level one observes almost non-interacting particles. Moreover, some properties even turn out to be universal, i.e., do not depend on the details of the microscopic equation at all. Fermi liquid theory has been phenomenologically developed as an emergent theory to describe these correlation effects in systems of interacting fermionic…

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