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dc.contributor.authorGarrigue, Louis
dc.date.accessioned2019-07-24T12:43:28Z
dc.date.available2019-07-24T12:43:28Z
dc.date.issued2019-06
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19405
dc.language.isoenen
dc.subjectHohenberg-Kohn theoremsen
dc.subject.ddc520en
dc.titleHohenberg-Kohn theorems for interactions, spin and temperatureen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe 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.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages23en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02151800en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2019-06
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-07-24T12:42:23Z
hal.person.labIds60


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