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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	052104
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	76
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.76.052104
Publication status	Published - 7 Nov 2007
Externally published	Yes

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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 - Hainzl, Christian

AU - Lewin, Mathieu

AU - Séré, Eric

AU - Solovej, Jan Philip

PY - 2007/11/7

Y1 - 2007/11/7

N2 - 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.

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.

U2 - 10.1103/PhysRevA.76.052104

DO - 10.1103/PhysRevA.76.052104

M3 - Article

AN - SCOPUS:36049041594

SN - 1050-2947

VL - 76

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

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

IS - 5

M1 - 052104

ER -

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

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