
Hohenberg-Kohn theorems for interactions, spin and temperature
Garrigue, Louis (2019-06), Hohenberg-Kohn theorems for interactions, spin and temperature. https://basepub.dauphine.fr/handle/123456789/19405
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Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-02151800Date
2019-06Publisher
Cahier de recherche CEREMADE, Université Paris-Dauphine
Series title
Cahier de recherche CEREMADE, Université Paris-DauphinePublished in
Paris
Pages
23
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Show full item recordAbstract (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.Subjects / Keywords
Hohenberg-Kohn theoremsRelated items
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