4 papers · 1 filter
The non-uniform electron gas
Mihaly A. Csirik, Andre Laestadius
The non-uniform (or inhomogeneous) electron gas has received much attention in many-body quantum mechanics and quantum chemistry in the early days of density functional theory, mai…
A quantitative Hohenberg-Kohn theorem and the unexpected regularity of density functional theory in one spatial dimension
Thiago Carvalho Corso, Andre Laestadius
In this paper we investigate the (Kohn-Sham) density-to-potential map in the case of spinless fermions in one spatial dimension, whose existence has been rigorously established by…
Density-functional theory for the Dicke Hamiltonian
Vebjørn H. Bakkestuen, Mihály A. Csirik, Andre Laestadius +1
A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided. In particular, the quantum Rabi model, the Dicke model, and a generalizatio…
Convergence of the regularized Kohn-Sham iteration in Banach spaces
Markus Penz, Andre Laestadius
The Kohn-Sham iteration of generalized density-functional theory on Banach spaces with Moreau-Yosida regularized universal Lieb functional and an adaptive damping step is shown to…