论文标题
典型变量和Koopman-von Neumann理论的解共轭
Deconjugation of canonical variables and the Koopman-von Neumann theory
论文作者
论文摘要
Koopman-von Neumann（KVN）理论是动态动量在构成位置上与位置的共轭的理论，即位置和动量被解轭。从这个角度来看，我们表明KVN理论源于量子力学，从量子方程提取经典运动方程。但是，保留该理论的规范结构需要介绍``辅助''规范的共轭物以定位和动力。我们表明，使用KVN公式研究量子系统和经典系统之间的相互作用迫使辅助变量扮演身体角色。在产生古典行为的同时，KVN理论可能不仅仅是经典。
The Koopman-von Neumann (KvN) theory is one where the dynamical momentum is not canonically conjugate to position, i.e., position and momentum are deconjugated. From this point of view, we show that the KvN theory arises from quantum mechanics, extracting classical equations of motion from quantum ones. However, preserving the canonical structure of the theory requires introducing ``auxiliary'' canonical conjugates to position and momentum. We show that using the KvN formulation to study the interaction between quantum and classical systems forces the auxiliary variables to take on a physical role. While giving rise to classical behaviour, the KvN theory might be more than classical.
