An Unambiguous Method of Avoiding Divergence Difficulties in Quantum Theory

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

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STUECKELBERG, E. An Unambiguous Method of Avoiding Divergence Difficulties in Quantum Theory. Nature 153, 143–144 (1944). https://doi.org/10.1038/153143a0

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