连续态波函数归一化问题及其完备性检验  

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] 

机构地区：[1]华东理工大学物理系,上海200237

出　　处：《原子与分子物理学报》2005年第3期524-529,共6页Journal of Atomic and Molecular Physics

基　　金：国家自然基金(10074014)资助项目

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.

关 键 词：连续态波函数 归一化 完备性条件 积分处理 

分 类 号：O562[理学—原子与分子物理]