对具有泛包络代数结构的量子力学控制系统，研究了泛包络代数的可扩张性和系统状态的定义域问题。

For quantum mechanical control systems with structures of universal enveloping algebras, the thesis studies the enlargability of the universal enveloping algebras and the domain problems.

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这些结果不仅扩大了解析能控性所适用的区域，更重要的是可以用于更一般的具有无穷维控制李代数的量子力学控制系统。

These results enlarge the domain of analytic controllability, and more essentially, they are applicable to more general quantum mechanical systems with infinite dimensional control Lie algebras.

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