The structure of the density-potential mapping. Part I: Standard density-functional theory

• URL: http://arxiv.org/abs/2211.16627v3
• Date: Mon, 27 Mar 2023 11:20:01 GMT
• Title: The structure of the density-potential mapping. Part I: Standard density-functional theory
• Authors: Markus Penz, Erik I. Tellgren, Mih\'aly A. Csirik, Michael Ruggenthaler, Andre Laestadius
• Abstract summary: 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.
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• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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