一种简单方法求原子基态能量

A SIMPLE METHOD TO CALCULATE ATOMIC GROUND-STATE ENERGY

本文提出了一种简单迭代的方法,用于近似求解原(离)子基态能级。通过引进等效核电荷参数,该方法将原(离)子的基态能级计算等效地化成为一个实一元二次代数方程的求根运算。对简单原(离)子的计算表明,本方法所得结果同实验值相当符合。

In this article, a iterative method is developed to calculate approximately the atomic (ionic) ground-state energy. By introducing one parameter of the effective nuclear charge, our method reduces the calculation of atomic(ionic) ground-state energy into the iterative solution of a quadratic equation of one variable, which can also be solved analytically. Compared with other methods, our method is simpler, and our results calculated for simple atoms (ions) quite coincide with the experimental values.