17 citations · 17 across the 1 of their papers we have counts for
4 papers
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…
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…
Fast evaluation of solid harmonic Gaussian integrals for local resolution-of-the-identity methods and range-separated hybrid functionals
Dorothea Golze, Niels Benedikter, Marcella Iannuzzi +2
An integral scheme for the efficient evaluation of two-center integrals over contracted solid harmonic Gaussian functions is presented. Integral expressions are derived for local o…
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…