The Implications of Radiative Equilibrium in Jaynes’ Extension of Semiclassical Radiation Theory

  • J. P. Gordon
  • F. R. Nash
Conference paper


The development of the quantum theory of matter and radiation hinged rather importantly upon two experimental facts, namely, the stability of atoms in their ground states, and the blackbody radiation law. The present quantum electrodynamics (QED) contains explanations of these facts along with virtually all others that atomic spectra can offer. However, many awkward divergences (such as the infinite contribution the transverse electromagnetic field makes to the electron mass) exist in the theory which must be explained away before theory and experiment agree. For this and other more philosophical reasons, further development of the theory is certainly desirable.


Dipole Moment Spontaneous Emission Quantal Uncertainty Neoclassical Theory Spontaneous Emission Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E. T. Jaynes and F. Cummings, Proc. IEEE 51, 89 (1963);CrossRefGoogle Scholar
  2. M. D. Crisp and E. T. Jaynes, Phys. Rev. 179, 1253 (1969);ADSCrossRefGoogle Scholar
  3. C. R. Stroud and E. T. Jaynes, Phys. Rev. A1, 106 (1970);ADSCrossRefGoogle Scholar
  4. E. T. Jaynes, Phys. Rev. A2, 260 (1970).ADSCrossRefGoogle Scholar
  5. 2.
    L. I. Schiff, Quantum Mechanics, (McGraw-Hill Book Company, Inc., New York 1955), 2nd ed., Chap. 10.MATHGoogle Scholar
  6. 3.
    F. R. Nash and J. P. Gordon, to be submitted to the Physical Review.Google Scholar
  7. 4.
    L. Landau and E. Lifshitz, The Classical Theory of Fields, (Addison-Wesley Company, Inc., 1951), Chap. 9.MATHGoogle Scholar
  8. 5.
    W. Heitler, The Quantum Theory of Radiation, (Oxford University Press, London, 1944), 2nd ed., Chap. 2.Google Scholar
  9. 6.
    To find the effect of spontaneous emission directly on the atom in the spirit of (4) requires the evaluation of the radiation reaction field, an exercise which has been carried out in the NCT, but which is beyond the scope of the present discussion.Google Scholar
  10. 7.
    These points are discussed at some length in reference 3.Google Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • J. P. Gordon
    • 1
  • F. R. Nash
    • 1
  1. 1.Bell LaboratoriesHolmdelUSA

Personalised recommendations