Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations

Maria J. Esteban*, Vladimir Georgiev, Eric Séré

*この研究の対応する著者

研究成果: Article査読

82 被引用数 (Scopus)

抄録

The Maxwell-Dirac system describes the interaction of an electron with its own electromagnetic field. We prove the existence of soliton-like solutions of Maxwell-Dirac in (3+1)-Minkowski space-time. The solutions obtained are regular, stationary in time, and localized in space. They are found by a variational method, as critical points of an energy functional. This functional is strongly indefinite and presents a lack of compactness. We also find soliton-like solutions for the Klein-Gordon-Dirac system, arising in the Yukawa model.

本文言語English
ページ(範囲)265-281
ページ数17
ジャーナルCalculus of Variations and Partial Differential Equations
4
3
DOI
出版ステータスPublished - 1996 4
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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