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Open Quantum Systems Decoherence

Feynman's linear divergence problem

arXiv

Authors: Alexander Sakhnovich, Lev Sakhnovich

Year

2026

Paper ID

48920

Status

Preprint

Abstract Read

~2 min

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Abstract

First, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the corresponding deviation factors behave as exp\{i t {mathcal C}_pm\} for t→ pm infty. Then, we construct so called secondary generalized scattering operators for the related case of linear divergence in QED, which gives a positive answer (in that case) to the well-known problem of J. R. Oppenheimer regarding scattering operators in QED: "Can the procedure be freed of the expansion in varepsilon and carried out rigorously?"

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First, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2604.11612 [2] arXiv https://arxiv.org/abs/2604.11612 [3] Publisher https://arxiv.org/abs/2604.11612

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External citation index: OpenAlex citation signal • updated 2026-06-15 02:47:12

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