Comment on `Do we have a consistent non-adiabatic quantum-classical mechanics?'

TL;DR

This paper critically examines claims about a quantum-classical bracket, arguing that it does not produce artificial coupling and clarifies its classical and quantum features.

Contribution

It provides a detailed critique of previous assertions regarding the quantum-classical bracket, defending its validity and classical nature.

Findings

The quantum-classical bracket does not generate artificial coupling.

The bracket maintains a consistent semi-classical structure.

Clarifies the classical and quantum aspects of p-mechanics.

Abstract

We argue with claims of the paper [Agostini F., Caprara S. and Ciccotti G., Europhys. Lett. EPL, 78 (2007) Art. 30001, 6] that the quantum-classic bracket introduced in [arXiv:quant-ph/0506122] produces "artificial coupling" and has "genuinely classical nature". Keywords: p-mechanics, quantum, classic, commutator, Poisson bracket, mixing, coupling, semi-classical