Quantum Mechanics and Motion: A Modern Perspective

TL;DR

This paper explores the quantum mechanical description of particle motion, emphasizing how repeated localizations and interactions shape the world-line and how forces influence probability distributions, extending these ideas to macroscopic objects.

Contribution

It offers a modern perspective on particle motion by linking quantum localization processes to classical trajectories and discusses the complexity of macroscopic motion.

Findings

Quantum motion involves localizations due to interactions.

Forces modify the probability distribution of particles.

Macroscopic objects exhibit similar quantum localization effects.

Abstract

This essay is an attempted to address, from a modern perspective, the motion of a particle. Quantum mechanically, motion consists of a series of localizations due to repeated interactions that, taken close to the limit of the continuum, yields a world-line. If a force acts on the particle, its probability distribution is accordingly modified. This must also be true for macroscopic objects, although now the description is far more complicated by the structure of matter and associated surface physics.