New curvilinear integrals along paths of Feynman path integral

  title={New curvilinear integrals along paths of Feynman path integral},
  • Kumano-go
  • Published 2003
We define new curvilinear integrals along paths of Feynman path integral. In order to define curvilinear integrals along paths on a path space, Itô integrals use initial points of line segments of broken line paths, and Stratonovich integrals use middle points of them. However, our new curvilinear integrals use classical curvilinear integrals along broken line paths. Therefore, the classical fundamental theorem of calculus holds in Feynman path integral. 

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