Abstract
Up to the present the explicit evaluation of the S-operator in quantum electrodynamics has not been possible. It is therefore necessary to develop an approximation method. In the past this approximation has always been based on Eq. (7–8) together with the definition (7–14). As we have seen, this definition is not adequate when the operators Ω± are not unitary.* The approximation method for the S-operator based on this definition is therefore of only limited validity. In spite of this limitation, it was found that for the lowest orders of approximation the S-matrix elements thus calculated give the correct values of the transition probabilities (cf. Section 7–5).
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References
R. P. Feynman, Phys. Rev. 76, 769 (1949)
F. J. Dyson, Phys. Rev. 75, 486, 1736 (1949).
W. H. Furry, Phys. Rev. 51, 125 (1937).
H. A. Bethe and W. Heitler, Proc. Roy. Soc. A146, 83 (1934)
K. Baumann, Acta Phys. Austriaca 7, 96 (1953)
B. Kockel, Ann. Phys. 4, 279 (1949).
J. M. Jauch, Helv. Phys. Acta 31, 127 and 661 (1958).
C. N. Yang and D. Feldman, Phys. Rev. 79, 972 (1950)
G. Wataghin, Z. Physik 86, 92 (1934)
H. McManus, Proc. Roy. Soc. A195, 323 (1949)
J. Rayski, Phil. Mag. 42, 1289 (1951)
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© 1976 J. M. Jauch and F. Rohrlich
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Jauch, J.M., Rohrlich, F. (1976). Evaluation of the S-Matrix. In: The Theory of Photons and Electrons. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80951-4_8
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DOI: https://doi.org/10.1007/978-3-642-80951-4_8
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