Distribution of amplitude in an extended phase space of a generic quantum system

TL;DR

This paper proposes an extended phase space formulation of quantum mechanics to restore the action reaction principle, reproducing standard predictions and predicting observable effects of a de Broglie wave.

Contribution

It introduces a novel extended phase space approach that maintains the action reaction principle in quantum mechanics.

Findings

Standard quantum predictions are recovered.

Observable effects of a de Broglie wave are predicted.

The formulation addresses violations of the action reaction principle.

Abstract

The action reaction principle is violated by the projection of state in some simple quantum measurements. A formulation of Quantum Mechanics in an extended phase space is proposed in order to restore the action reaction principle. All predictions of the standard theory are reproduced. Observable effects of an accompanying de Broglie wave are also predicted.