Consistent measurement of a quantum dynamical variable using classical apparatus

TL;DR

This paper discusses the consistency of quantum-classical dynamics in measurement processes, highlighting existing formulations that resolve previous inconsistencies and demonstrating their application with an example.

Contribution

It shows that a consistent quantum-classical dynamics framework exists and applies it to a quantum system interacting with a classical apparatus.

Findings

A known formulation can describe quantum measurement interactions.

The paper clarifies that previous claims of inconsistency are addressed by existing models.

An explicit example demonstrates the practical use of the formulation.

Abstract

The claim that there is an inconsistency of quantum-classical dynamics [1] is investigated. We point out that a consistent formulation of quantum and classical dynamics which can be used to describe quantum measurement processes is already available in the literature [2]. An example in which a quantum system is interacting with a classical system is worked out using this formulation.