A spherically symmetric bound state of the coupled Maxwell-Dirac equations with self-interaction alone

DOI10.1063/1.4933322zbMath1330.81076OpenAlexW2105289254MaRDI QIDQ3450539

R. A. W. Bradford

Publication date: 6 November 2015

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

Full work available at URL: https://semanticscholar.org/paper/60fdc19809ffe3ce9f176f6281009eda1adbd0ce

zbMATH Keywords

Maxwell equationsDirac equationsbound statesnumerical solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic theory (general) (78A25)

Cites Work

• Unnamed Item
• On global solutions of the Maxwell-Dirac equations
• Stationary states of the nonlinear Dirac equation: A variational approach
• Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
• Global well-posedness of the Maxwell-Dirac system in two space dimensions
• Global solution to Maxwell-Dirac equations in \(1+1\) dimensions
• Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
• Algebraic inversion of the Dirac equation for the vector potential in the non-Abelian case
• A solitary wave solution of the Maxwell-Dirac equations
• Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations
• Local existence for the maxwell-dirac equations in three space dimensions
• Magnetic monopoles, electric neutrality and the static Maxwell-Dirac equations
• Localized solutions of the Dirac–Maxwell equations
• The cauchy problem for the coupled maxwell and dirac equations