量子力学概率表示中的系统状态动力学
Dynamics of System States in the Probability Representation of Quantum Mechanics.
作者信息
Chernega Vladimir N, Man'ko Olga V
机构信息
Institute of Managment and Digital Technologies, Department of Logistics and Transport System Managment, Russian University of Transport (MIIT), Obraztsova Street, 9/9, Moscow 127994, Russia.
Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow 119991, Russia.
出版信息
Entropy (Basel). 2023 May 11;25(5):785. doi: 10.3390/e25050785.
A short description of the notion of states of quantum systems in terms of conventional probability distribution function is presented. The notion and the structure of entangled probability distributions are clarified. The evolution of even and odd Schrödinger cat states of the inverted oscillator is obtained in the center-of-mass tomographic probability description of the two-mode oscillator. Evolution equations describing the time dependence of probability distributions identified with quantum system states are discussed. The connection with the Schrödinger equation and the von Neumann equation is clarified.
本文给出了用传统概率分布函数对量子系统状态概念的简短描述。阐明了纠缠概率分布的概念和结构。在双模振荡器的质心断层概率描述中，得到了倒易振荡器的偶和奇薛定谔猫态的演化。讨论了描述与量子系统状态相关的概率分布随时间变化的演化方程。阐明了与薛定谔方程和冯·诺依曼方程的联系。
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