The stationary Maxwell–Dirac equations

DOI10.1088/0305-4470/36/20/321zbMath1053.81022OpenAlexW2027224523MaRDI QIDQ4450141

C. J. Radford

Publication date: 15 February 2004

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

Full work available at URL: https://doi.org/10.1088/0305-4470/36/20/321

zbMATH Keywords

Maxwell-Dirac systemsisolated stationary localization

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (8)

Gauge invariant formulation of the self-interacting Duffin-Kemmer-Petiau equations ⋮ Existence of solutions for nonlinear Dirac equations in the Bopp-Podolsky electrodynamics ⋮ Existence of ground states solutions for Dirac-Poisson systems ⋮ Stationary solutions of non-autonomous Maxwell-Dirac systems ⋮ Variational methods in relativistic quantum mechanics ⋮ Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system ⋮ Standing wave solutions of Maxwell-Dirac systems ⋮ Ground states for nonlinear Maxwell-Dirac system with magnetic field

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