# 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} }

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…

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