### 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 |

Publication status | Published - 1996 |

Externally published | Yes |

### Fingerprint

### 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

*Letters in Mathematical Physics*,

*38*(2), 217-220.

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

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 38, no. 2, pp. 217-220.

}

TY - JOUR

T1 - Bound-State Solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac Systems

AU - Esteban, Maria J.

AU - Gueorguiev, Vladimir Simeonov

AU - Séré, Eric

PY - 1996

Y1 - 1996

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

UR - http://www.scopus.com/inward/record.url?scp=1542429013&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1542429013&partnerID=8YFLogxK

M3 - Article

VL - 38

SP - 217

EP - 220

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 2

ER -