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Approximation of Feynman path integrals with non-smooth potentials (1812.07487v1)
Published 18 Dec 2018 in math-ph, math.AP, and math.MP
Abstract: We study the convergence in $L2$ 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.