Semiclassical trajectories in the double-slit experiment

TL;DR

This paper presents a semiclassical approach to the double-slit experiment using momentous quantum mechanics, deriving particle trajectories that reproduce interference patterns without relying on Bohmian non-crossing rules.

Contribution

It introduces a novel semiclassical framework based on canonical variables that models particle trajectories and interference without Bohmian constraints.

Findings

Reproduces quantum interference patterns with semiclassical trajectories.

Shows non-crossing rule is not necessary in this approach.

Highlights differences from Bohmian mechanics.

Abstract

We provide a semiclassical description of the double-slit experiment based on momentous quantum mechanics, where the implementation of canonical variables facilitate the derivation of the equations of motion for the system. We show the evolution of individual particles and their semiclassical trajectories, collectively reproduce the well-known quantum interference pattern. It is found that the non-crossing rule for trajectories, present in Bohmian mechanics, is not required under our treatment. We are able to follow classical configuration variables from this semiclassical scheme, and discuss substantial differences between our description and the Bohmian perspective