B^(3+)离子基态能量与波函数的变分计算  

Variational calculations of B^(3+)ion ground-state energy and wave function

作　　者：陈玉红[1] 何忠芳[2] 李延龙[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050 [2]兰州大学第一医院,甘肃兰州730000

出　　处：《兰州理工大学学报》2005年第5期154-156,共3页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(ZS022-A25-016)

摘　　要：为了得到B3+离子的结构,在研究双电子原子模型的基础上,提出了一种包含坐标张弛系数的试探波函数,同时利用Matlab语言开发了一个运用变分法对三体问题进行计算的软件程序,计算得到了B3+离子基态能量的多个近似值及对应的解析波函数.在波函数取N=11时,B3+离子基态能量与实验值相比,误差仅为0.18‰.In order to get the structure of B^3＋ ion, based on the study of model on double-electron atom, a kind of trial wave function with coordinate relaxation coefficient is relaxation presented. Meanwhile,a program capable of solving three-body problem with variational method is developed by using Matlab language. A number of approximative values of ground-state energy and corresponding analytic wave functions of B^3＋ ion are obtained by using the calculation program. When N is taken as 11, the B^3＋ ion ground-state energy calculated is compared to that from the experiment, the error being only 0. 18‰.

关 键 词：B^3+离子 变分法 基态能量 波函数 

分 类 号：O562.1[理学—原子与分子物理] O413[理学—物理]