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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 publié
Date
2019
Journal name
Journal of Statistical Physics
Volume
177
Publisher
Springer
Published in
Paris
Pages
415–437
Publication identifier
10.1007/s10955-019-02365-6
Metadata
Show full item record
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

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