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An Unambiguous Method of Avoiding Divergence Difficulties in Quantum Theory

Nature volume 153, pages 143144 (29 January 1944) | Download Citation

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Abstract

THE classical theory of a point charge and the quantum theory of wave packets contain in their usual form well-known divergences, Dirac1 has elaborated a classical particle theory which avoids these difficulties, but his results cannot as yet be applied to quantum theory. On the other hand, Heisenberg2 has recently proposed a new formalism which permits the calculation of collision cross-sections in quantum theory without being disturbed by diverging terms. However, no connecting link such as the correspondence principle has been given in order to apply this quantum formalism to a given problem such as Rutherford scattering, Compton effect or radiation damping.

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References

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    , Proc. Roy. Soc., A, 167, 148 (1938).

  2. 2.

    , Z. Phys., 120, 513 and 673 (1943).

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    and , Z. Phys., 63, 54 (1930).

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Affiliations

  1. University of Geneva

    • E. C. G. STUECKELBERG

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DOI

https://doi.org/10.1038/153143a0

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