Geodesic
Generalized analytic Feynman integrals via the operators and its applications
Filomat, Tome 36 (2022) no. 16, p. 5405

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DOI

In this paper, we introduce a new concept of a generalized analytic Feynman integral combining the bounded linear operators on abstract Wiener space. We then obtain some Feynman integration formulas involving the generalized first variation. These formulas are more generalized forms rather than the formulas studied in previous papers. Finally, we establish a generalized Cameron-Storvick theorem, and give some examples to illustrate the usefulness of our results and formulas.
DOI : 10.2298/FIL2216405C
Classification : 60J65, 28C20, 46B04
Keywords: abstract Wiener space, generalized analytic Feynman integral, generalized first variation, Cameron-Storvick theorem 
Hyun Soo Chunga. Generalized analytic Feynman integrals via the operators and its applications. Filomat, Tome 36 (2022) no. 16, p. 5405 . doi: 10.2298/FIL2216405C
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     title = {Generalized analytic {Feynman} integrals via the operators and its applications},
     journal = {Filomat},
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     year = {2022},
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     doi = {10.2298/FIL2216405C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216405C/}
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