59 citations · 377 across the 38 of their papers we have counts for
9 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…
Thermodynamic limit for the magnetic uniform electron gas and representability of density-current pairs
Mihály A. Csirik, Andre Laestadius, Erik I. Tellgren
Although the concept of the uniform electron gas is essential to quantum physics, it has only been defined recently in a rigorous manner by Lewin, Lieb and Seiringer. We extend the…
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…
One-Dimensional Lieb-Oxford Bounds
Andre Laestadius, Fabian M Faulstich
We investigate and prove Lieb-Oxford bounds in one dimension by studying convex potentials that approximate the ill-defined Coulomb potential. A Lieb-Oxford inequality establishes…
Unique Continuation for the Magnetic Schrödinger Equation
Andre Laestadius, Michael Benedicks, Markus Penz
The unique-continuation property from sets of positive measure is here proven for the many-body magnetic Schrödinger equation. This property guarantees that if a solution of the Sc…
Kohn-Sham Theory in the Presence of Magnetic Field
Andre Laestadius
In the well-known Kohn-Sham theory in Density Functional Theory, a fictitious non-interacting system is introduced that has the same particle density as a system of electrons s…
Density Functionals in the Presence of Magnetic Field
Andre Laestadius
In this paper density functionals for Coulomb systems subjected to electric and magnetic fields are developed. The density functionals depend on the particle density, , and para…