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The positronium and the dipositronium in a Hartree-Fock approximation of quantum electrodynamics.

dc.contributor.authorSok, Jérémy
dc.date.accessioned2014-07-21T08:06:35Z
dc.date.available2014-07-21T08:06:35Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13745
dc.language.isoenen
dc.subjectpositroniumen
dc.subjectBorwein and Preiss Lemmaen
dc.subjectmountain passen
dc.subjectHilbert manifolden
dc.subjectDirac seaen
dc.subject.ddc520en
dc.titleThe positronium and the dipositronium in a Hartree-Fock approximation of quantum electrodynamics.en
dc.typeDocument de travail / Working paper
dc.description.abstractenThe Bogoliubov-Dirac-Fock (BDF) model is a no-photon approximation of quan- tum electrodynamics. It allows to study relativistic electrons in interaction with the Dirac sea. A state is fully characterized by its one-body density matrix, an infinite rank nonnegative projector. We prove the existence of the para-positronium, the bound state of an electron and a positron with antiparallel spins, in the BDF model represented by a critical point of the energy functional in the absence of external field. We also prove the existence of the dipositronium, a molecule made of two elec- trons and two positrons that also appears as a critical point. More generally, for any half integer j ∈ 1 +Z+, we prove the existence of a critical point of the energy 2 functional made of 2j + 1 electrons and 2j + 1 positrons.en
dc.publisher.nameUniversité Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages39en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-01018933en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.submittednonen


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