Bound-State Solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac Systems

Maria J. Esteban, Vladimir Georgiev, Eric Séré

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this Letter we present a result concerning the existence of stationary solutions for the classical Maxwell-Dirac equations in the Lorentz gauge. We believe that such a result can be of interest for a field quantization approach in QED. This result is obtained by using variational arguments. By a similar method, we also find an infinity of distinct solutions for the Klein-Gordon-Dirac system, arising in the so-called Yukawa model.

Original languageEnglish
Pages (from-to)217-220
Number of pages4
JournalLetters in Mathematical Physics
Volume38
Issue number2
DOIs
Publication statusPublished - 1996 Jan 1

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Keywords

  • Field quantization
  • Klein-Gordon-Dirac system
  • Maxwell-Dirac equations
  • Stationary solutions
  • Yukawa model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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