An Unambiguous Method of Avoiding Divergence Difficulties in Quantum Theory


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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  1. 1

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STUECKELBERG, E. An Unambiguous Method of Avoiding Divergence Difficulties in Quantum Theory. Nature 153, 143–144 (1944).

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