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

Maria J. Esteban*, Vladimir Georgiev, Eric Séré

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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
Issue number2
Publication statusPublished - 1996 Jan 1
Externally publishedYes


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Bound-State Solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac Systems'. Together they form a unique fingerprint.

Cite this