
Hohenberg-Kohn theorems for interactions, spin and temperature
Garrigue, Louis (2019), Hohenberg-Kohn theorems for interactions, spin and temperature, Journal of Statistical Physics, 177, p. 415–437. 10.1007/s10955-019-02365-6
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Type
Article accepté pour publication ou publiéDate
2019Nom de la revue
Journal of Statistical PhysicsVolume
177Éditeur
Springer
Ville d’édition
Paris
Pages
415–437
Identifiant publication
Métadonnées
Afficher la notice complèteRésumé (EN)
We prove Hohenberg-Kohn theorems for several models of quantum mechanics. First, we show that for possibly degenerate systems of several types of particles, the pair correlation functions of any ground state contain the information of the interactions and of the external potentials. Then, in the presence of the Zeeman interaction, a strong constraint on external fields is derived for systems having the same ground state densities and magnetizations. Next, we prove that the density and the entropy of a ground state contain the information of both the imposed external potential and temperature. Eventually, we conclude that at positive temperature, Hohenberg-Kohn theorems generically hold.Mots-clés
Hohenberg-Kohn theoremsPublications associées
Affichage des éléments liés par titre et auteur.
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Garrigue, Louis (2020) Article accepté pour publication ou publié
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Garrigue, Louis (2018) Article accepté pour publication ou publié
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Cancès, Eric; Garrigue, Louis; Gontier, David (2022) Document de travail / Working paper
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Gondran, Alexandre; Gondran, Michel (2012) Communication / Conférence
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Goltz, Andreas; Wittwer, Jérôme; Arnault, Louis (2012) Communication / Conférence