On the Hartree-Fock equations of the electron-positron field

被引：18

作者：

Barbaroux, JM

Farkas, W

Helffer, B

Siedentop, H

机构：

[1] Univ Toulon & Var, Dept Math, F-83957 La Garde, France

[2] Univ Zurich, Swiss Banking Inst, CH-8032 Zurich, Switzerland

[3] Univ Paris 11, Dept Math, F-91405 Orsay, France

[4] LMU, Inst Math, D-80333 Munich, Germany

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 255卷 / 01期

关键词：

D O I：

10.1007/s00220-004-1156-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the energy of relativistic electrons and positrons interacting via the second quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock approximation. We show that the associated functional has a minimizer. In addition, all minimizers are purely electronic states, they are projections, and fulfill the no-pair Dirac-Fock equations.

引用

页码：131 / 159

页数：29

共 23 条

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[Anonymous], 1992, TEXTS MONOGRAPHS PHY

[2] THE INDEX OF A PAIR OF PROJECTIONS [J].