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- W2040530563 abstract "Path integrals are introduced in this paper using the properties of integral equations of the Fredholm type. This framework seems well adapted for studying the equivalence between the path-integral formalism and other formulations of quantum mechanics, and for examining the relation between path integrals and expansions like the Born series. The study of these integral equations shows how a density matrix is related to a Stieltjes integral. In principle our study reduces the problem of calculating a path integral to a problem of traditional analysis. A series expansion of a transform of the path integral which we introduced recently is shown to satisfy Schrödinger's equation and to be also related to a Liouville-type iteration of an integral equation. The problem of oscillatory integrals in Feynman's formalism is also discussed." @default.
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- W2040530563 date "1972-07-01" @default.
- W2040530563 modified "2023-09-25" @default.
- W2040530563 title "A note on Feynman's path integrals" @default.
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- W2040530563 doi "https://doi.org/10.1016/0031-8914(72)90224-8" @default.
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