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math-ph2021
On the convergence of a novel family of time slicing approximation operators for Feynman path integrals
S. Ivan Trapasso
In this note we study the properties of a sequence of approximate propagators for the Schrödinger equation, in the spirit of Feynman's path integrals. Precisely, we consider Hamilt…
math-ph2020
On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals
Hans G. Feichtinger, Fabio Nicola, S. Ivan Trapasso
In the first part of the paper we provide a survey of recent results concerning the problem of pointwise convergence of integral kernels in Feynman path integral, obtained by means…
math-ph2020
A time-frequency analysis perspective on Feynman path integrals
S. Ivan Trapasso
The purpose of this expository paper is to highlight the starring role of time-frequency analysis techniques in some recent contributions concerning the mathematical theory of Feyn…