Revising de Broglie-Bohm trajectories' momentum distribution

TL;DR

This paper proposes a revised formalism for de Broglie-Bohm trajectories that aligns their initial momentum distributions with quantum mechanics, extending the hydrodynamic interpretation and suggesting experimental tests.

Contribution

It introduces a new approach to correct the momentum distribution of de Broglie-Bohm trajectories, enhancing the hydrodynamic interpretation of quantum mechanics.

Findings

Revised trajectories match quantum momentum distributions

Application to double-slit experiment demonstrates the formalism

Proposes experimental verification method

Abstract

Initial momenta of de Broglie-Bohm trajectories generally do not obey quantum mechanical momentum distributions. The solution to this problem presented in the following leads to an extended hydrodynamic interpretation of quantum mechanics. To demonstrate the new formalism, it is applied to the double-slit experiment. From this example follows a proposal for experimental verification of trajectory formulations of quantum mechanics.