On Evolution Equations of Quantum-Classical Systems

TL;DR

This paper explores the mathematical relationships between different approaches to modeling systems with both quantum and classical components, focusing on how to accurately describe their interactions.

Contribution

It introduces new insights into the evolution equations governing mixed quantum-classical systems, bridging consistent and approximate descriptions.

Findings

Established links between different quantum-classical evolution equations

Provided conditions for the consistency of approximate models

Enhanced understanding of quantum-classical interaction dynamics

Abstract

We consider the links between consistent and approximate descriptions of the quantum-classical systems, i.e. systems are composed of two interacting subsystems, one of which behaves almost classically while the other requires a quantum description.