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The concept of the photon

MAR 01, 1972
It has its logical foundation in the quantum theory of radiation. But the “fuzzy‐ball” picture of a photon often leads to unnecessary difficulties.

DOI: 10.1063/1.3070771

Marlan O. Scully
Murray Sargent

The idea of the photon has stirred the imaginations of physicists ever since 1905 when Einstein originally proposed the use of light quanta to explain the photoelectric effect. This concept is formalized in the quantum theory of radiation, which has had unfailing success in explaining the interaction of electromagnetic radiation with matter, seemingly limited only by the ability of physicists to perform the indicated calculations. Nevertheless, it has its conceptual problems—various infinities and frequent misinterpretations. Consequently an increasing number of workers are asking, “to what extent is the quantized field really necessary and useful?” In fact the experimental results of the photoelectric effect were explained by G. Wentzel in 1927 without the quantum theory of radiation. Similarly most electro‐optic phenomena such as stimulated emission, reaction of the emitted field on the emitting atom, resonance fluorescence, and so on, do not require the quantization of the field for their explanation. As we will see, these processes can all be quantitatively explained and physically understood in terms of the semiclassical theory of the matter–field interaction in which the electric field is treated classically while the atoms obey the laws of quantum mechanics. The quantized field is fundamentally required for accurate descriptions of certain processes involving fluctuations in the electromagnetic field: for example, spontaneous emission, the Lamb shift, the anomalous magnetic moment of the electron, and certain aspects of blackbody radiation. (The Compton effect also fits here, but see later under references 8b and c.) Here we will outline how the photon concept originated and developed, where it is not required and is often misused, and finally where it plays an essential role in the understanding of physical phenomena. In our discussion we will attempt to give a logically consistent definition of the word “photon”—a statement far more necessary than one might think, for so many contradictory uses exist of this elusive beast. In particular consider the original coining of the word by G. N. Lewis:

“[because it appears to spend] only a minute fraction of its existence as a carrier of radiant energy, while the rest of the time it remains an important structural element within the atom…, I therefore take the liberty of proposing for this hypothetical new atom which is not light but plays an essential part in every process of radiation, the name photon!”

(our exclamation point). Clearly the present usage of the word is very different.

References

  1. 1. M. Sargent III, M. O. Scully, W. E. Lamb Jr, Quantum Electronics, to be published.

  2. 2. G. N. Lewis, Nature 118, 874 (1926).https://doi.org/NATUAS

  3. 3. Genesis, I. (For the purists only; it was really Sunday.)

  4. 4. G. Gamow, The Thirty Years That Shook Physics, Doubleday, Garden City, N.Y. (1966), page 22.

  5. 5. W. E. Lamb Jr, M. O. Scully, Polarization Matter and Radiation (Jubilee volume in honor of Alfred Kastler), Presses Univ. de France, Paris (1969).

  6. 6. P. A. Franken, “Collisions of Light with Atoms,” in Atomic Physics (B. Bederson, V. W. Cohen, F. M. J. Pichanick, eds.) Plenum, New York (1969), page 377.

  7. 7. F. K. Richtmyer, E. H. Kennard, T. Lauritsen, Introduction to Modern Physics, 5th ed., McGraw Hill, New York (1955), page 94.
    (a) N. Bloembergen, Nonlinear Optics, Benjamin, New York (1965).
    (b) W. E. LambJr, Phys. Rev. 134, A1429 (1964). https://doi.org/PHRVAO
    For more recent developments see M. Sargent III, M. O. Scully, “Physics of Laser Operation,” Chapter 2 in Laser Handbook, (F. T. Arecchi, E. O. Schultz‐DuBois, eds.) North‐Holland, Amsterdam (1972).
    (c) S. L. McCall, E. L. Hahn, Phys. Rev. 183, 457 (1969). https://doi.org/PHRVAO
    See also G. L. LambJr, Rev. Mod. Phys. 43, 99 (1971). https://doi.org/RMPHAT
    (d) I. D. Abella, N. A. Kurnit, S. R. Hartman, Phys. Rev. 141, 391 (1966). https://doi.org/PHRVAO
    See also H. Pendleton, in Proceedings of the International Conference on the Physics of Quantum Electronics, (P. L. Kelly, B. Lax, P. E. Tannenwald, eds.) McGraw‐Hill, New York (1965) page 822.

  8. 8. M. D. Crisp, E. T. Jaynes, Phys. Rev. 179, 1253 (1969). https://doi.org/PHRVAO
    (a) G. Wentzel, Z. Physik 41, 828 (1927). https://doi.org/ZEPYAA
    (b) O. Klein, Y. Nishina, A. Physik 52, 853 (1929).
    (c) O. Klein, Z. Physik 41, 407 (1927). https://doi.org/ZEPYAA
    (d) E. A. Uehling, Phys. Rev. 48, 55 (1935).https://doi.org/PHRVAO

  9. 9. M. Crisp, private communication.

  10. 10. M. Lax, Phys. Rev. 145, 110 (1966).https://doi.org/PHRVAO

  11. 11. R. P. Feynman, Phys. Rev. 76, 769 (1949); https://doi.org/PHRVAO
    J. Schwinger, Phys. Rev. 73, 416 (1948); https://doi.org/PHRVAO
    S. Tomonaga, Phys. Rev. 74, 224 (1948).https://doi.org/PHRVAO

  12. 12. P. A. M. Dirac, Proc. Roy. Soc. (London) A, 114, 243 (1927).https://doi.org/PRLAAZ

  13. 13. R. J. Glauber, in Quantum Optics and Electronics, (C. DeWitt, A. Blaudin, C. Cohen, Tannoudji, eds.), Gordon and Breach, New York (1965).

  14. 14. M. O. Scully, W. E. LambJr, Phys. Rev. 159, 208 (1967).https://doi.org/PHRVAO

  15. 15. A. Einstein, Phys. Zeits. 10, 185 (1909).https://doi.org/PHZTAO

  16. 16. M. Jammer, The Conceptual Development of Quantum Mechanics, McGraw‐Hill, New York (1966).

  17. 17. V. Weisskopf, E. P. Wigner, Z. Physik 63, 54 (1930).https://doi.org/ZEPYAA

  18. 18. W. E. Lamb Jr, R. C. Retherford, Phys. Rev. 72, 241 (1947).https://doi.org/PHRVAO

  19. 19. T. A. Welton, Phys. Rev. 74, 1157 (1948); https://doi.org/PHRVAO
    see also V. Weisskopf, Rev. Mod. Phys. 21, 305 (1949).https://doi.org/RMPHAT

  20. 20. S. Koenig, A. G. Prodell, P. Kusch, Phys. Rev. 88, 191 (1952).https://doi.org/PHRVAO

  21. 21. A. Sommerfeld, Optics, Academic, New York (1964).

  22. 22. E. Fermi, Rev. Mod. Phys. 4, 87 (1932).https://doi.org/RMPHAT

  23. 23. L. Mandel, Nature 198, 255 (1963).https://doi.org/NATUAS

  24. 24. A most useful collection of papers concerning these topics is found in Coherence and Fluctuations of Light, Vol. I and II (L. Mandel, E. Wolf, eds.), Dover, New York (1970).

  25. 25. P. A. M. Dirac, The Principles of Quantum Mechanics, Oxford U.P., London (1958), page 9.

More about the Authors

Marlan O. Scully. University of Arizona, Tucson.

Murray Sargent. University of Arizona, Tucson.

This Content Appeared In
pt-cover_1972_03.jpeg

Volume 25, Number 3

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