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用Numerov算法求解一维无限深势阱的本征问题
引用本文:余瑞兰,蔺玉柱,崔光磊.用Numerov算法求解一维无限深势阱的本征问题[J].巢湖学院学报,2003,5(3):43-47.
作者姓名:余瑞兰  蔺玉柱  崔光磊
作者单位:安徽师范大学物理电信学院,安徽师范大学宣传部,安徽,芜湖,241000
摘    要:用Numerov算法求解一维无限深势阱的十个本征值以及基态、第一、第二和第三激发态波函数的数值解,所得到的数值结果和解析解吻合很好,表明此算法有效可行。

关 键 词:Numerov算法  一维无限深势阱  本征  基态  激发态  波函数  量子力学
文章编号:1672-2868(2003)03-0043-05
修稿时间:2003年2月5日

On The Eigen Problem For The One-Dimension Infinite Deep Potential Well By Using Numerov Arithmetic
YU Rui-lan,LIN Yu-zhu,CUI Guang-lei.On The Eigen Problem For The One-Dimension Infinite Deep Potential Well By Using Numerov Arithmetic[J].Chaohu College Journal,2003,5(3):43-47.
Authors:YU Rui-lan  LIN Yu-zhu  CUI Guang-lei
Abstract:In the present paper, by using Numerov arithmetic we work out the eigen problem for the one-dimension infinite deep potential well , and ten eigen values as well as the numeric solutions of wave function at ground state,the first , the second and the third excited state are obtained.. The numeric results are in agreement with the case of analysis, which shows our arithmetic is reliable and validity.
Keywords:Numerov arithmetic  the one-dimension infinite deep potential well  the eigen problem
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