The structure of the density-potential mapping. Part I: Standard density-functional theory
Chemical Physics
2024-10-22 v3 Quantum Physics
Abstract
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. Part I of this review aims at clarifying the status of the Hohenberg-Kohn theorem within DFT and Part II at different extensions of the theory that include magnetic fields. We collect evidence that the Hohenberg-Kohn theorem does not so much form the basis of DFT, but is rather the consequence of a more comprehensive mathematical framework. Such results are especially useful when it comes to the construction of generalized DFTs.
Keywords
Cite
@article{arxiv.2211.16627,
title = {The structure of the density-potential mapping. Part I: Standard density-functional theory},
author = {Markus Penz and Erik I. Tellgren and Mihály A. Csirik and Michael Ruggenthaler and Andre Laestadius},
journal= {arXiv preprint arXiv:2211.16627},
year = {2024}
}