Abstract
IN recent years physicists have become so accustomed to divergences that the divergence of the number of emitted photons, which was found by Bloch and Nordsieck1, is considered quite a normal state of things. The reason is that the total energy carried off by these photons and the transition probability remain finite.
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References
Bloch, F., and Nordsieck, A., Phys. Rev., 52, 54 (1937).
Ascoli, R., Nuovo Cim., 2, 413 (1955)
A full account of this investigation will be published elsewhere. Hitherto, the problem of the emission of photons by a quantum mechanical system in the Bloch–Nordsieck approximation has been studied rigorously only in a very particular case by Pauli, W., and Fierz, M., Nuovo Cim., 15, 167 (1938). See also, Jauch, J. M., and Rohrlich, F., Helv. Phys. Acta, 27, 613 (1954).
Jost, R., Phys. Rev., 72, 815 (1947). Jauch, J. M., and Rohrlich, F., Helv. Phys. Acta, 27, 613 (1954).
Thirring, W., and Touscheck, B., Phil. Mag., 42, 244 (1951).
An argument in favour of this statement has been given already by Jauch and Rohrlich (ref. 4).
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ASCOLI, R. The Infra-Red and the Bloch–Nordsieck Divergences. Nature 179, 727–728 (1957). https://doi.org/10.1038/179727b0
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DOI: https://doi.org/10.1038/179727b0
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