17 citations · 17 across the 5 of their papers we have counts for
8 papers · 1 filter
Particle-Hole Pair Localization on the Fermi Surface and its Impact on the Correlation Energy
Niels Benedikter
In recent years it has been shown how approximate bosonization can be used to justify the random phase approximation for the correlation energy of interacting fermions in a mean-fi…
Mesoscopic Observables of the Dilute Fermi Gas at Low Energy
Niels Benedikter, Emanuela L. Giacomelli, Asbjørn Bækgaard Lauritsen +1
We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves the ground state energy to the precision of the Huang-…
Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation
Niels Benedikter, Sascha Lill, Diwakar Naidu
We analyse the momentum distribution of a three-dimensional Fermi gas in the mean-field scaling regime in a trial state that was recently proven to reproduce the Gell-Mann-Brueckne…
Derivation of Hartree-Fock Dynamics and Semiclassical Commutator Estimates for Fermions in a Magnetic Field
Niels Benedikter, Chiara Boccato, Domenico Monaco +1
We study the quantum dynamics of a large number of interacting fermionic particles in a constant magnetic field. In a coupled mean-field and semiclassical scaling limit, we show th…
Momentum Distribution of a Fermi Gas in the Random Phase Approximation
Niels Benedikter, Sascha Lill
We consider a system of interacting fermions on the three-dimensional torus in a mean-field scaling limit. Our objective is computing the occupation number of the Fourier modes in…
Bosonic Collective Excitations in Fermi Gases
Niels Benedikter
Hartree-Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessar…