Abstract
THE ‘λ-limiting process’, given by Wentzel and improved by Dirac, gives a finite classical theory for the interaction of a point-charge with its own field. A new mathematical method due to M. Riesz1,2 of solving the wave equation by means of analytical continuation gives the same finite equation of motion for a point-charge as this ‘λ-limiting process’.
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References
Riesz, M., Congrès Internat. Math. Oslo, 2, 44 (1936).
Riesz, M., Confér. à la Réunion internat. d. Math. à Paris, 1937 (1939).
Gustafson, T., Lunds Fysiogr. S. Förh., 15, 28 (1945).
Gustafson, T., Lunds Fysiogr. S. Förh., 16, 2 (1946).
Gustafson, T., Nature, 157, 734 (1946).
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GUSTAFSON, T. Elimination of Certain Divergencies in Quantum Electrodynamics. Nature 158, 273 (1946). https://doi.org/10.1038/158273a0
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DOI: https://doi.org/10.1038/158273a0
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Experiment and Theory in Statistics
Nature (1946)
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