摘要
本文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。并指出这一理论可以推广应用到激发态或处理高阶修正问题。
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 order energy correction as well as the unconditioned lower limit and then completely studies the concrete calculation method. It concludes that the result of the polarizability of hydrogen atom resulted from applying the complementary variation 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 points out this theory can be introduced to use in the excited state and to resolve the higher order correction problem.
出处
《青岛大学学报（自然科学版）》
CAS
2001年第4期56-65,共10页
Journal of Qingdao University(Natural Science Edition)
关键词
互补变分原理
正则变分
欧拉-拉格朗日变分
线性变分函数
微扰理论
极化率
量子力学
氢原子
Complementary variation principle
Regular variation
Euler–Lagrange,s variation
Linear variation function
Perturbation theory
Excited state
Polarizability
