The Feynman maps and the Wiener integral
- 1 August 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (8) , 1742-1750
- https://doi.org/10.1063/1.523873
Abstract
By introducing the family of Feynman maps Fs, we show that our earlier definition of the Feynman path integral F=F1 can be obtained as the analytic continuation of the Wiener integral E =F−i. This leads to some new results for the Wiener and Feynman integrals. We establish a translation and Cameron–Martin formula for the Feynman maps Fs, having applications to nonrelativistic quantum mechanics. We also estalish a (weak) dominated convergence theorem for F1=F.Keywords
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