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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 paper
External document link
https://hal.archives-ouvertes.fr/hal-02151800
Date
2019-06
Publisher
Cahier de recherche CEREMADE, Université Paris-Dauphine
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Published in
Paris
Pages
23
Metadata
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Author(s)
Garrigue, Louis
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (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 theorems