The Quantum Mechanical Foundations of Semiclassical Radiation Theories

  • I. R. Senitzky
Conference paper


The wide interest, in recent years, in the validity of semiclassical radiation theory (there appear to be several such theories, if one examines their — usually implicit — definitions carefully) may be attributed to two causes. The first is the successful use of such theories in a number of important phenomena, such as maser and laser operation, self-induced transparency, various atomic and nuclear resonance effects, and photoelectric detection. The second is the attempt, on the one hand, to make semiclassical theory a fundamental theory in place of quantum electrodynamics, [1] and, on the other hand, to question its validity under conditions for which its use had been considered acceptable.[2] It is the purpose of the present discussion to examine, from an orthodox quantum mechanical viewpoint, the conditions for which the use of semiclassical radiation theory is valid.


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  1. 1.
    For review articles on this subject, see L. Mandel, in Progress in Optics, Vol. XIII, ed. by E. Wolf (North-Holland Publishing Co., Amsterdam, 1976) Ch. II; P. W. Milori, Phys. Reports 25, 1 (1976).Google Scholar
  2. 2.
    R. J. Glauber, Phys. Rev. Letters 10, 84 (1963).CrossRefGoogle Scholar
  3. 3.
    L. J. Schiff, Quantum Mechanics ( McGraw-Hill Book Co., New York, 1949 ) p. 240.Google Scholar
  4. 4.
    See, for instance, H. Haken, Handbuch der Phpsik, Vol. XXV/2c ( Springer Verlag, Berlin, 1970 ).Google Scholar
  5. 5.
    E. T. Jaynes, in Coherence and Quantum Optics, ed. by L. Mandel and E. Wolf ( Plenum Press, New York, 1973 ) p. 35.Google Scholar
  6. 6.
    J. H. Eberly, in Physics of Quantum Electronics, Vol. IV, ed. by S. Jacobs, M. Sargent III, and M. O. Scully (Addison-Wesley, Reading, Mass., 1976 ) p. 421.Google Scholar
  7. 7.
    I. R. Senitzky, Phys. Rev. A10, 1868 (1974); 15, 284 (1977).Google Scholar
  8. 8.
    I. R. Senitzky, Phys. Rev. Letters 20, 1062 (1968).CrossRefGoogle Scholar
  9. 9.
    I. R. Senitzky, Phys. Rev. Letters 15, 233 (1965); 16, 619 (1966).Google Scholar
  10. 10.
    I. R. Senitzky, Phys. Rev. 174, 1588 (1968).ADSCrossRefGoogle Scholar
  11. 11.
    For an illustration of the application of SCTII to a gaseous laser, see W. E. Lamb, Jr., Phys. Rev. 134, A1429 (1964).Google Scholar
  12. 12.
    A. Messiah, Quantum Mechanics ( North-Holland Publishing Co., Amsterdam, 1961 ) p. 460.Google Scholar
  13. 13.
    R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972).ADSCrossRefMathSciNetGoogle Scholar
  14. 14.
    F. T. Arecchi, E. Courtens, R. Gilmore and H. Thomas, Phys. Rev. A6, 221 (1972).CrossRefGoogle Scholar
  15. 15.
    R. Gilmore, C. M. Bowden and L. M. Narducci, Phys. Rev. A12, 1019 (1975).Google Scholar
  16. 16.
    I. R. Senitzky, Phys. Rev. 111, 3 (1958).ADSCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • I. R. Senitzky
    • 1
  1. 1.TechnionHaifaIsrael

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