Quantum Particle Motion in Physical Space

TL;DR

This paper demonstrates that quantum particles, modeled as a continuous matter field, follow unique paths determined by classical action principles, bridging quantum and classical descriptions of motion.

Contribution

It introduces a novel approach using Feynman's representation and Lagrangian methods to describe quantum particle paths as continuous media.

Findings

Quantum particles have unique trajectories in physical space.

Paths are determined by classical minimum action principles.

The approach unifies quantum and classical descriptions of motion.

Abstract

Using Feynman's representation of the quantum evolution and considering a quantum particle as a matter field (continuous medium), it is shown that individual particles of the field have unique paths of the motion. This allows describing motion of the quantum particle continuous medium by Lagrange's method. It is shown that form of the real individual particle path is determined by classical minimum action principle.