Field Quantization

  • Pierre Meystre
  • Murray SargentIII


Up to now, we have treated many problems in light-matter interactions and have obtained results in excellent agreement with experiments without having to quantize the electromagnetic field. Such a semiclassical description is sufficient to describe most problems in quantum optics. However, there are a few notable exceptions where a classical description of the field leads to the wrong answer. These include spontaneous emission, the Lamb shift, resonance fluorescence, the anomalous gyromagnetic moment of the electron, and “non-classical” states of light such as squeezed states. The remainder of this book deals with selected problems in light-matter interactions that require field quantization. The present chapter treats the quantization of the electromagnetic field in free space. Those familiar with this subject might want to glance at our notation and then proceed directly to Chap. 13.


Coherent State Density Operator Annihilation Operator Photon Statistic Classical Energy 
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  1. Cohen-Tannoudji, C., J. Dupont-Roc, and G. Grynberg (1989), Photons and Atoms, Introduction to Quantum Electrodynamics, John-Wiley & Sons, New York.Google Scholar
  2. Glauber, R. J. (1963), Phys. Rev. 130, 2529, and 131, 2766.Google Scholar
  3. Glauber, R. J. (1965), in: Quantum Optics and Electronics,Les Houches, Ed. by C. DeWitt, A. Blandin, and C. Cohen-Tannoudji, Gordon and Breach, New York. pp. 331–381, gives a pedagogical review of quantum coherence, coherent states and detection theory.Google Scholar
  4. Haken, H. (1975), Rev. Mod. Phys. 47, 67.MathSciNetADSCrossRefGoogle Scholar
  5. Klauder, J. R. and E. C. G. Sudarshan (1968), Fundamentals of Quantum Optics, W. A. Benjamin, New York.Google Scholar
  6. Louise11, W. H. (1973), Quantum Statistical Properties of Radiation, John Wiley & Sons, New York. A classic reference book on boson operator algebra, quantized fields and their applications in quantum optics.Google Scholar
  7. Nussenzveig, H. M. (1974), Introduction to Quantum Optics, Gordon and Breach, New York.Google Scholar
  8. Risken, H. (1984), The Fokker-Planck Equation, Springer-Verlag, Heidelberg.MATHCrossRefGoogle Scholar
  9. Sargent, M. III, M. O. Scully, and W. E. Lamb, Jr. (1977), Laser Physics,Addison-Wesley Publishing Co., Reading, MA. See especially Chaps. 14 and 15.Google Scholar
  10. Vogel, K. and H. Risken (1989), Phys. Rev. A39, 4675.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Pierre Meystre
    • 1
  • Murray SargentIII
    • 1
  1. 1.Optical Sciences CenterUniversity of ArizonaTucsonUSA

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