Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics

Christian Hainzl; Mathieu Lewin; Eric Séré; Jan Philip Solovej

doi:10.1103/PhysRevA.76.052104

Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics

Christian Hainzl
, Mathieu Lewin
, Eric Séré
, Jan Philip Solovej

University of Alabama at Birmingham
CY Cergy Paris Université
Université Paris Dauphine
University of Copenhagen

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

27 Citations (Scopus)

Résumé

We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin- 1/2 particles such as electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the photon field. All our results are nonperturbative and mathematically rigorous.

langue originale	Anglais
Numéro d'article	052104
journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	76
Numéro de publication	5
Les DOIs	https://doi.org/10.1103/PhysRevA.76.052104
état	Publié - 7 nov. 2007
Modification externe	Oui

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10.1103/PhysRevA.76.052104

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title = "Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics",

abstract = "We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin- 1/2 particles such as electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the photon field. All our results are nonperturbative and mathematically rigorous.",

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AU - Lewin, Mathieu

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AU - Solovej, Jan Philip

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AB - We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin- 1/2 particles such as electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the photon field. All our results are nonperturbative and mathematically rigorous.

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DO - 10.1103/PhysRevA.76.052104

M3 - Article

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JF - Physical Review A - Atomic, Molecular, and Optical Physics

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Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics

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