The Feynman maps and the Wiener integral

Aubrey Truman

Research output: Contribution to journalArticle

Abstract

By introducing the family of Feymnan maps Js, we show that our earlier definition of the Feynman path integral J = J1 can be obtained as the analytic continuation of the Wiener integral E = J-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 J s, having applications to nonrelativistic quantum mechanics. We also estalish a (weak) dominated convergence theorem for J1 = J. © 1978 American Institute of Physics.

Original languageEnglish
Pages (from-to)1742-1750
Number of pages9
JournalJournal of Mathematical Physics
Volume19
Issue number8
Publication statusPublished - 1977

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