摘要
从控制与利用微观系统的量子工程的观点，讨论了人造量子系统的基本物理问题。针对人造量子系统中的一大类———非自治量子系统的求解问题，提出了代数动力学理论方法。运用代数动力学，对人造量子系统进行了理论研究；对可积的非自治系统，详细介绍了线性系统和非线性可积系统的求解问题；对不可积系统，用代数动力学观点研究了量子规则运动和无规运动的特征，它们之间的过渡，以及它们对时间有关外场的不同响应。
From the viewpoint of quantum engineerring, the fundamental physical problems of man made quantum systems have been discussed.In the need of a theoretical method for solving nonautonomous quantum systems,algebraic dynamics has been proposed.By using algebraic dynamical method,man made quantum systems have been studied theoretically:for integrable nonautonomous quantum systems,solutions of linear and nonlinear systems are presented in detail; for non integrable quantum systems, characteristics of regular and irregular quantum motions, transition from one to the other, as well as different responses of them to a time dependent external field have been investigated.
出处
《物理学进展》
CSCD
北大核心
1999年第4期331-370,共40页
Progress In Physics
基金
国家自然科学基金
教育部博士点基金
兰州重离子加速器国家实验室原子核理论中心科学基金
关键词
人造量子系统
非自治量子系统
代数动力学
nan made quantum systems, nonautonomous quantum systems, algebraic dynamics, solutions of linear and nonlinear quantum systmes
