Localized solutions of the Dirac–Maxwell equations

DOI10.1063/1.531663zbMath0865.35112arXivhep-th/9510065OpenAlexW3103239512MaRDI QIDQ5284868

C. J. Radford

Publication date: 22 January 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9510065

zbMATH Keywords

existenceuniquenessreductionspherical symmetrynumerical solutionDirac-Maxwell equations

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (8)

A spherically symmetric bound state of the coupled Maxwell-Dirac equations with self-interaction alone ⋮ Fierz bilinear formulation of the Maxwell-Dirac equations and symmetry reductions ⋮ Gauge invariant formulation of the self-interacting Duffin-Kemmer-Petiau equations ⋮ Real spinors and real Dirac equation ⋮ Variational methods in relativistic quantum mechanics ⋮ On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials ⋮ A numerical method with particle conservation for the Maxwell-Dirac system ⋮ Nonlinear electron solutions and their characteristics at infinity

Cites Work

• On global solutions of the Maxwell-Dirac equations
• Stationary states of the nonlinear Dirac equation: A variational approach

This page was built for publication: Localized solutions of the Dirac–Maxwell equations