文献类型：期刊文献

中文题名：连续态波函数归一化问题及其完备性检验

英文题名：Deduction of the normalization of continuum state Wave functions and its verification via completeness condition

作者：曹伟[1];贺黎明[1];朱云霞[1];葛自明[1]

机构：[1]华东理工大学物理系,上海200237

年份：2005

卷号：22

期号：3

起止页码：524

中文期刊名：原子与分子物理学报

外文期刊名：Journal of Atomic and Molecular Physics

收录：北大核心:【北大核心2004】；CSCD:【CSCD2011_2012】；

基金：国家自然基金(10074014)资助项目

语种：中文

中文关键词：连续态波函数;归一化;完备性条件;积分处理

外文关键词：Continuum wave function; Normalization; Completeness condition; Integral processing

摘要：本文探讨了连续态波函数归一化问题,给出了正确、有效的归一化算法。采用改进的Numerov格式计算氢原子的连续态波函数,并利用基矢完备性条件对此进行了检验。利用最小二乘法,分别得出了束缚态部分和及连续态部分积分的渐近函数形式。并由此采用积分处理方法得到了余项的近似计算结果。
The normalization method of continuum state wave functions is investigated and a correct and effective normalizing form is given. Improved Numerov algorithm is adopted to calculate hydrogen continuum wave functions, which are verified via the completeness conditions of eigenvectors. With leat-squared method, the asymptotical forms of the sum of bond states and the integral of continuum states are given respectively, from which, integral processing method is used to calculate approximate results of the residues.