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Path integrals, Fourier transforms and Feynman's operational calculus

Byung Moo Ahn, University of Nebraska - Lincoln

Abstract

The disentangling process is the key to Feynman's operational calculus for noncommuting operators. The main result of his heuristic calculations deals with disentangling an exponential factor. We use the Wiener and Feynman integrals to make this disentangling (or time-ordering) mathematically rigorous in the case where the analytic functions from earlier work are replaced by Fourier transforms of complex measures.

Subject Area

Mathematics

Recommended Citation

Ahn, Byung Moo, "Path integrals, Fourier transforms and Feynman's operational calculus" (1992). ETD collection for University of Nebraska-Lincoln. AAI9233389.
https://digitalcommons.unl.edu/dissertations/AAI9233389

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