A note on the Stochastic nature of Feynman quantum paths

TL;DR

This paper introduces a Fresnel stochastic white noise framework to analyze the inherently stochastic nature of Feynman paths in quantum mechanics, providing new insights into the path integral formulation.

Contribution

It presents a novel stochastic framework for understanding Feynman paths using Fresnel white noise, advancing the theoretical analysis of quantum propagators.

Findings

Fresnel stochastic white noise effectively models Feynman paths.

New insights into the stochastic properties of quantum trajectories.

Potential applications in quantum simulation and analysis.

Abstract

We propose a Fresnel stochastic white noise framework to analyze the stochastic nature of the Feynman paths entering on the Feynman Path Integral expression for the Feynman propagator of a particle quantum mechanically moving under a time independent potential.