Foundations of Physics

, Volume 14, Issue 1, pp 41–63 | Cite as

Stochastic electrodynamics. IV. Transitions in the perturbed harmonic oscillator-zero-point field system

  • G. H. Goedecke


In this fourth paper in a series on stochastic electrodynamics (SED), the harmonic oscillator-zero-point field system in the presence of an arbitrary applied classical radiation field is studied further. The exact closed-form expressions are found for the time-dependent probability that the oscillator is in the nth eigenstate of the unperturbed SED Hamiltonian H 0 , the same H 0 as that of ordinary quantum mechanics. It is shown that an eigenvalue of H 0 is the average energy that the oscillator would have if its wave function could be just the corresponding eigenstate. The level shift for each unperturbed eigenvalue is found and shown to be unobservable for a different reason than in the corresponding QED treatment. Perturbation theory is applied to the SED Schrödinger equation to derive first-order transition rates for spontaneous emission and resonance absorption. The results agree with those of quantum electrodynamics, but the mathematics is strikingly different. It is shown that SED demands discarding the ideas of quantized energies, photons, and completeness of the Schrödinger equation, Finally, an intuitive physical SED model is suggested for the photoeffect and for Clauser's (2) coincidence experiment.


Transition Rate Radiation Field Average Energy Spontaneous Emission Quantum Electrodynamic 
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  1. 1.
    M. D. Crisp and E. T. Jaynes,Phys. Rev. 129, 1253 (1969).Google Scholar
  2. 2.
    J. F. Clauser,Phys. Rev. D 9, 853 (1974).Google Scholar
  3. 3.
    George Arfken,Mathematical Methods for Physicists (Academic Press, New York, 1970), Chapter 13.Google Scholar
  4. 4.
    L. I. Schiff,Quantum Mechanics (McGraw-Hill, New York, 1968), 2nd edn., Chapter 4.Google Scholar
  5. 5.
    J. J. Sakurai,Advanced Quantum Mechanics (Addison-Wesley, Reading, Massachusetts, 1973), Chapter 2.Google Scholar
  6. 6.
    J. H. Eberley, inFoundations of Radiation Theory and Quantum Electrodynamics, A. O. Barut, ed. (Plenum, New York, 1980), pp. 23–35.Google Scholar
  7. 7.
    E. Santos,Nuovo Cimento B 19, 57 (1974).Google Scholar
  8. 8.
    W. E. Lamb, Jr., and M. O. Scully, inPolarization, Matter, and Radiation: Jubilee Volume in Honor of Alfred Kastler, Société Francaise de Physique, ed. (Presses Universitaires de France, Paris, 1969), pp. 363–369.Google Scholar
  9. 9.
    E. Wigner,Phys. Rev. 40, 749 (1932).Google Scholar
  10. 10.
    L. Cohen,J. Math. Phys. 7, 781 (1966).Google Scholar
  11. 11.
    M. D. Srinivas and E. Wolf,Phys. Rev. D 11, 1477 (1975).Google Scholar
  12. 12.
    L. de la Peña-Auerbach and A. M. Cetto,Found. Phys. 8, 191 (1978).Google Scholar
  13. 13.
    C. A. Kocher and E. D. Commins,Phys. Rev. Lett. 18, 575 (1967).Google Scholar
  14. 14.
    A. Aspect, P. Grangier, and G. Roger,Phys. Rev. Lett. 47, 460 (1981).Google Scholar
  15. 15.
    M. O. Scully, inFoundations of Radiation Theory and Quantum Electrodynamics, A. O. Barut, ed. (Plenum, New York, 1980), pp. 45–48.Google Scholar
  16. 16.
    T. W. Marshall,Izv. Vyssh. Uchebn. Zaved., Fiz. 11, 34 (1968) (in Russian); translation inSov. Phys. Izvestiya.Google Scholar
  17. 17.
    T. W. Marshall,Proc. R. Soc. (London) A 276, 475 (1963).Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • G. H. Goedecke
    • 1
  1. 1.Physics DepartmentNew Mexico State UniversityLas Cruces

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