Absence of binding in a mean-field approximation of quantum electrodynamics
Sok, Jérémy (2014), Absence of binding in a mean-field approximation of quantum electrodynamics. https://basepub.dauphine.fr/handle/123456789/13746
Type
Document de travail / Working paperExternal document link
http://hal.archives-ouvertes.fr/hal-01018932Date
2014Publisher
Université Paris-Dauphine
Published in
Paris
Pages
43
Metadata
Show full item recordAuthor(s)
Sok, JérémyAbstract (EN)
We study the Bogoliubov-Dirac-Fock model which is a mean-field approximation of QED. It allows to consider relativistic electrons interacting with the Dirac sea. We study the system of two electrons in the vacuum: it has been shown in a previous work that an electron alone can bind due to the vacuum polarization, under some technical assumptions. Here we prove the absence of binding for the system of two electrons: the response of the vacuum is not sufficient to counterbalance the repulsion of the electrons.Subjects / Keywords
no binding; Pekar-Tomasevitch model; Dirac sea; Dirac operatorRelated items
Showing items related by title and author.
-
Sok, Jérémy (2014) Document de travail / Working paper
-
Sok, Jérémy (2014-07) Thèse
-
Hainzl, Christian; Lewin, Mathieu; Séré, Eric (2009) Article accepté pour publication ou publié
-
Solovej, Jan Philip; Séré, Eric; Lewin, Mathieu; Hainzl, Christian (2007-06) Article accepté pour publication ou publié
-
Sok, Jérémy (2014) Document de travail / Working paper