Mathematical Physics
[Submitted on 18 Dec 2018]
Title:Approximation of Feynman path integrals with non-smooth potentials
View PDFAbstract:We study the convergence in $L^2$ of the time slicing approximation of Feynman path integrals under low regularity assumptions on the potential. Inspired by the custom in Physics and Chemistry, the approximate propagators considered here arise from a series expansion of the action. The results are ultimately based on function spaces, tools and strategies which are typical of Harmonic and Time-frequency analysis.
Submission history
From: Salvatore Ivan Trapasso [view email][v1] Tue, 18 Dec 2018 17:14:28 UTC (21 KB)
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