On the stability of the relativistic electron-positron field

被引：39

作者：

Bach, V ^{[1
]}

Barbaroux, JM

Helffer, B

Siedentop, H

机构：

[1] Tech Univ Berlin, Fachbereich Math, D-10623 Berlin, Germany

[2] Univ Regensburg, Lehrstuhl Math 1, D-93040 Regensburg, Germany

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 201卷 / 02期

关键词：

D O I：

10.1007/s002200050562

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 through the second quantized Coulomb interaction and a self-generated magnetic field. As states we allow generalized Hartree-Fock states in the Fock space. Our main result is the assertion of positivity of the energy, if the atomic numbers and the fine structure constant are not too big. We also discuss the dependence of the result on the dressing of the electrons (choice of subspaces defining the electrons).

引用

页码：445 / 460

页数：16

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