A note on the Feynman Path integral for Electromagnetic External fields

TL;DR

This paper introduces a Fresnel stochastic white noise approach to analyze Feynman paths in the path integral formulation of a charged particle in a static electromagnetic field.

Contribution

It presents a novel stochastic white noise framework to interpret Feynman paths in electromagnetic external fields, offering new insights into quantum propagators.

Findings

Fresnel stochastic white noise effectively models Feynman paths

Provides a new perspective on quantum propagators in electromagnetic fields

Enhances understanding of path integral formulations

Abstract

We propose a Fresnel stochastic white noise framework to analyze the nature of the Feynman paths entering on the Feynman path integral expression for the Feynman propagator of aparticle quantum mechanically moving under an external electromagnetic time independent potential