Feynman's path integral

  title={Feynman's path integral},
  author={C{\'e}cile Morette Dewitt},
  journal={Communications in Mathematical Physics},
  • 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… 

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