New curvilinear integrals along paths of Feynman path integral

@inproceedings{Kumanogo2003NewCI,
  title={New curvilinear integrals along paths of Feynman path integral},
  author={Kumano-go},
  year={2003}
}
  • 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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Showing 1-6 of 6 references

A new representation for stochastic integrals and equations

  • R. L. Stratonovich
  • J. SIAM Control, Vol 4, No. 2, pp. 362–371
  • 1966
Highly Influential
4 Excerpts

Interchange with Feynman Path Integrals and Riemann- Stieltjes Integrals

  • N. Kumano-go
  • Preprint Series, Graduate School of Mathematical…
  • 2002
Highly Influential
7 Excerpts

The stationary phase method with an estimate of the remainder term on a space of large dimension

  • D. Fujiwara
  • Nagoya Mathematical Journal, Vol 124, pp. 61–97
  • 1991
1 Excerpt

Space-time approach to non-relativistic quantum mechanics

  • R. P. Feynman
  • Reviews of Modern Physics, Vol 20, pp. 367–387
  • 1948
1 Excerpt

Stochastic integral

  • K. Itô
  • Proc. Imp. Acad. Tokyo, 20, pp. 519–524
  • 1944
1 Excerpt

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