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Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems

Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric (1996), Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems, Letters in Mathematical Physics, 38, 2, p. 217-220. http://dx.doi.org/10.1007/BF00398323

Type
Article accepté pour publication ou publié
Date
1996
Journal name
Letters in Mathematical Physics
Volume
38
Number
2
Publisher
Springer
Pages
217-220
Publication identifier
Metadata
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Author(s)
Esteban, Maria J. cc
Georgiev, Vladimir
Séré, Eric
Abstract (EN)
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.
Subjects / Keywords
Maxwell-Dirac equations; Klein-Gordon-Dirac system; Yukawa model; stationary solutions; field quantization