摘要
本文用超球坐标作原子波函数的宗量,给出了在超球坐标下动能算符、势能算符及薛定谔方程的表达式;给出了广义角动量算符的本征函数、本征值;给出了超球径向函数的耦合微分方程,提出了一种解耦合微分方程的方法,对氦原子基态能量进行了计算,结果良好,计算表明,在氦原子中,各原子轨道的量子数l为偶数的成分占主要部分。
In this artiele, hyperspherical coordinates are used as the variables, of wavefunctions. The kinetic energy, potential energy operators and Schrod-inger equations are expressed in hyperspherical coordinates too. The eigenvalues and eigenfunctions of generalized angular momentum are obtained. The coupled differential equation of hyperradius function is derived and a mothod of solution is proposed. The ground states energy of helium atom is calculated and the agreement between the calculated value and experiemental one is quite good. The calculations show that in helium atom the atomic orbital with even quantum numbers of angular momentum l are more important.
出处
《原子与分子物理学报》
CAS
CSCD
北大核心
1992年第2期2258-2264,共7页
Journal of Atomic and Molecular Physics
基金
国家自然科学基金
关键词
广义角动量
原子
波函数
超球坐标
hyperspherical coordinates, generalized angular momentum,Jacobi polynormial
