# Feynman's path integral

```@article{Dewitt1972FeynmansPI,
title={Feynman's path integral},
author={C{\'e}cile Morette Dewitt},
journal={Communications in Mathematical Physics},
year={1972},
volume={28},
pages={47-67}
}```
• C. Dewitt
• Published 1 October 1972
• Mathematics, Physics
• Communications in Mathematical Physics
AbstractFeynman's integral is defined with respect to a pseudomeasure on the space of paths: for instance, letC be the space of pathsq:T⊂ℝ → configuration space of the system, letC be the topological dual ofC; then Feynman's integral for a particle of massm in a potentialV can be written where \$\$S_{\operatorname{int} } (q) = \mathop \smallint \limits_T V(q(t)) dt\$\$ and wheredw is a pseudomeasure whose Fourier transform is defined by for μ∈C′. Pseudomeasures are discussed; several integrals…
50 Citations

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