Classicalization of Quantum Variables and Quantum-Classical Hybrids

TL;DR

This paper explores how classical variables can be derived from quantum systems using the stochastic variational method, leading to a hybrid model that preserves key physical laws and discusses its applicability.

Contribution

It introduces a method to derive quantum-classical hybrid models that maintain conservation laws and satisfy Ehrenfest's theorem with modifications.

Findings

Hybrid model derived from quantum and classical variables

Conservation laws like energy are maintained in the hybrid model

Ehrenfest's theorem is satisfied with modifications

Abstract

The extraction of classical degrees of freedom in quantum mechanics is studied in the stochastic variational method. By using this classicalization, a hybrid model constructed from quantum and classical variables (quantum-classical hybrids) is derived. In this procedure, conservation laws such as energy are maintained, and Ehrenfest's theorem is still satisfied with modification. The criterion for the applicability of quantum-classical hybrids is also discussed.