Foundations of Physics

, Volume 13, Issue 2, pp 189–194 | Cite as

Nonperturbative quantum electrodynamics: The Lamb shift

  • A. O. Barut
  • J. Kraus
Part I. Invited Papers Dedicated To Paul Adrien Maurice Dirac

Abstract

The nonlinear integro-differential equation, obtained from the coupled Maxwell-Dirac equations by eliminating the potential Aμ, is solved by iteration rather than perturbation. The energy shift is complex, the imaginary part giving the spontaneous emission. Both self-energy and vacuum polarization terms are obtained. All results, including renormalization terms, are finite.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P. A. M. Dirac,Europhysics 8, 1 (1977); andProceedings of the Conference on Particle Physics, Budapest, 1977 (Central Inst. of Physics Report KFK1-1977-62).Google Scholar
  2. 2.
    F. Rohrlich, inFoundations of Radiation Theory and Quantum Electrodynamics, A. O. Barut, ed. (Plenum Press, New York, 1980), p. 155.Google Scholar
  3. 3.
    A. O. Barut, inFoundations of Radiation Theory and Quantum Electrodynamics, A. O. Barut, ed. (Plenum Press, New York, 1980), p. 165.Google Scholar
  4. 4.
    A. O. Barut and J. Kraus,Phys. Rev. D16, 161 (1977).Google Scholar
  5. 5.
    A. O. Barut, “Nonlinear Problems in Classical and Quantum Electrodynamics,” inLecture Notes in Physics, Volume 98, A. F. Rañada, ed. (Springer-Verlag, Berlin, 1979), p. 1.Google Scholar
  6. 6.
    J. B. French and V. F. Weisskopf,Phys. Rev. 75, 1240 (1949).Google Scholar
  7. 7.
    B. Davis,Am. J. Phys. 50, 331 (1982).Google Scholar
  8. 8.
    A. O. Barut and J. Kraus (to be published).Google Scholar
  9. 9.
    A. O. Barut and J. Kraus,Physica Scripta 25, 561 (1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • A. O. Barut
    • 1
    • 2
  • J. Kraus
    • 1
    • 2
  1. 1.Department of PhysicsThe University of ColoradoBoulder
  2. 2.Sektion Physik der Universität München8 München 2Germany

Personalised recommendations