互补变分原理及其在微扰近似理论中的应用

以正则变分和线性变分函数为基础，对互补变分原理作了论证，推导出二阶能量修正的上界和不受任何条件限制的下界，并对具体计算方法作了详细的研究。得出互补变分原理在微扰理论近似中应用所求氢原子的极化率结果比一般的变分法和微扰法所得结果更接近于实验值。并指出这理论可以推广应用到激发态或处理高阶修正问题。

Complementary Variation Principle and Its Application in the Approximation of Perturbation Theory

In view of the regular variation function and the linear variation function,this article argues for the complementary variation principle,deduces the upper limit of the second energy expurgation as well as the unconditioned lower limit and the completely studies the concrete calculation method.It concludes that the result of the polarizability of hydrogen aton resulted from applying the complementary varation principle to the approximation of perturbation theory is more approximate to the experimental value than that resulted from using the common variation and perturbation theories .As a result,it porints out this theory can be introduced to use in the excitation conditon and to resolve the higher expurgation problem.