On approximations of Feynman path integrals
Tapani Hyttinen
TL;DR
This paper investigates how finite-dimensional approximations of Feynman path integrals influence the resulting propagator, providing insights into their accuracy and convergence.
Contribution
It introduces a new framework for approximating Feynman path integrals in finite dimensions and analyzes their impact on the propagator.
Findings
Finite-dimensional approximations can effectively approximate Feynman path integrals.
The approximations determine the propagator's behavior and convergence.
The study offers guidelines for choosing approximations in practical computations.
Abstract
We study approximations of Feynman path integrals in finite dimensional spaces and how the approximations determine the propagator.
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Taxonomy
Topicsadvanced mathematical theories