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

Maria J. Esteban, Vladimir Simeonov Gueorguiev, 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
Publication statusPublished - 1996
Externally publishedYes

Fingerprint

Dirac equation
Bound States
infinity
Paul Adrien Maurice Dirac
Dirac Equation
Stationary Solutions
Quantization
Gauge
Infinity
Distinct
Model

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Bound-State Solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac Systems. / Esteban, Maria J.; Gueorguiev, Vladimir Simeonov; Séré, Eric.

In: Letters in Mathematical Physics, Vol. 38, No. 2, 1996, p. 217-220.

Research output: Contribution to journalArticle

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