The Stationary Maxwell-dirac Equations

@inproceedings{Radford2001TheSM,
  title={The Stationary Maxwell-dirac Equations},
  author={Chris Radford},
  year={2001}
}
The Maxwell-Dirac equations are the equations for electronic matter, the “classical” theory underlying QED. The system combines the Dirac equations with the Maxwell equations sourced by the Dirac current. A stationary Maxwell-Dirac system has ψ = eφ, with φ independent of t. The system is said to be isolated if the dependent variables obey quite weak regularity and decay conditions. In this paper we prove the following results for isolated, stationary Maxwell-Dirac systems, • there are no… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 21 references

Magnetic Monopoles

  • C. J. Radford, H. S. Booth
  • Electric Neutrality and the Static Maxwell-Dirac…
  • 1999
Highly Influential
9 Excerpts

and S-T

  • F. Finster, J. Smoller
  • Yau, The Coupling of Gravity to Spin and…
  • 1999
Highly Influential
4 Excerpts

Stationary Solutions of the Maxwell-Dirac and Klein-Gordon-Dirac Equations

  • M. Esteban, V. Georgiev, E. Séré
  • Calc. Var. 4
  • 1996
Highly Influential
4 Excerpts

Asymptotic Completeness

  • M. Flato, J.C.H. Simon, E. Taflin
  • Global Existence and the Infrared Problem for the…
  • 1997
Highly Influential
3 Excerpts

Spinors and Space-Time Vol

  • R. Penrose, W. Rindler
  • 1 and 2, Cambridge Monographs in Mathematical…
  • 1992
Highly Influential
3 Excerpts

Elliptic Systems in Hs,δ Spaces on Manifolds which are Euclidean at Infinity

  • Y. Choquet-Bruhat, D. Christodoulou
  • Acta Math. 146,
  • 1981
Highly Influential
5 Excerpts

Analysis

  • E. H. Lieb, M. Loss
  • AMS Graduate Studies in Mathematics 14
  • 1997
1 Excerpt

General Solutions of the MaxwellDirac Equations in 1 + 1 Dimensional Space - time and a Spatially Confined Solution

  • A. Das
  • J . Math . Phys .
  • 1997

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