氦原子基态能量的Hylleraas变分计算  

Hylleraas variational calculation for ground-state energy of Helium

作　　者：陈冠军[1] 

机构地区：[1]太原师范学院物理系,山西太原030031

出　　处：《大学物理》2010年第11期14-15,34,共3页College Physics

摘　　要：本文给出了基于Hylleraas波函数变分计算氦原子基态非相对论能量的详细过程,得到了含参数的基态能量表达式,并编写了相应的Mathematica程序来完成变分,计算所得的基态能量的理论值和实验数据符合得很好,误差小于0.04‰.由于计算过程直观简单,在教学过程中亦可采用.By using the Hylleraas-type wave function, the expression for the energy of Helium in the ground state is derived in detail. The variational minimum of ground state energy is obtained by the help of Mathematica. The theoretical value of energy is in agreement with experimental data, and the relative error is less than 0.04‰.This calculation is easy to understand, thus it is very suitable for the teaching purpose.

关 键 词：氦原子 基态 Hylleraas方法 MATHEMATICA 

分 类 号：O413.1[理学—理论物理]