15 citations · 15 across the 2 of their papers we have counts for
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A supersymmetric hierarchical model for weakly disordered semimetals
Giovanni Antinucci, Luca Fresta, Marcello Porta
In this paper we study a hierarchical supersymmetric model for a class of gapless, three-dimensional, weakly disordered quantum systems, displaying pointlike Fermi surface and coni…
Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime
Niels Benedikter, Phan Thành Nam, Marcello Porta +2
While Hartree-Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correl…
On the correlation energy of interacting fermionic systems in the mean-field regime
Christian Hainzl, Marcello Porta, Felix Rexze
We consider a system of interacting fermionic particles in three dimensions, confined in a periodic box of volume , in the mean-field scaling. We assume that the intera…
Effective Evolution Equations from Quantum Dynamics
Niels Benedikter, Marcello Porta, Benjamin Schlein
In these notes we review the material presented at the summer school on "Mathematical Physics, Analysis and Stochastics" held at the University of Heidelberg in July 2014. We consi…