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

Maria J. Esteban; Vladimir Georgiev; Eric Séré

doi:10.1007/BF00398323

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 journal › Article › peer-review

20 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 language	English
Pages (from-to)	217-220
Number of pages	4
Journal	Letters in Mathematical Physics
Volume	38
Issue number	2
DOIs	https://doi.org/10.1007/BF00398323
Publication status	Published - 1996 Jan 1
Externally published	Yes

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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10.1007/BF00398323

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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.",

keywords = "Field quantization, Klein-Gordon-Dirac system, Maxwell-Dirac equations, Stationary solutions, Yukawa model",

author = "Esteban, {Maria J.} and Vladimir Georgiev and Eric S{\'e}r{\'e}",

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AU - Séré, Eric

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Y1 - 1996/1/1

N2 - 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.

AB - 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.

KW - Field quantization

KW - Klein-Gordon-Dirac system

KW - Maxwell-Dirac equations

KW - Stationary solutions

KW - Yukawa model

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IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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