将A-L理论推广到无限维李代数

为使由Alhassid与Levine所提出的动力学李代数方法（简称A－L理论）能适用于更多的散射体系，在h(∞)中引入了有效集合C（有限维）的概念．按照微扰理论的意义，C中的代数元所对应的群参量是较低次微扰的结果，而不属于C的代数元所对应的群参量则相当于较高次做扰所产生的修正结果．因此可以近似地利用C来代替h(∞)．这样，不仅简化了计算程序并且对于很多具有现实意义的散射过程的计算成为可能．

Generalization of A-L Theory to Infinite Dimensional Lie Algebra

In order that the dynamical algebraic method presented by Alhassid and Levine can be used for more scattering systems,the dimension number of Lie algebra is increased to infinity.A certain number of elements of the infinite dimension Lie algebra form a significant set to the elements of which group parameters corresponding belong to the contribution of lower order pertubation to the dynamical results,other group parameters are attributed to the contribution of higher order perturbation.It is a good approximation to replace the infinite dimension Lie algebra by the significant set in dynamical calculations.