用Numerov算法求解一维无限深势阱的本征问题  

On The Eigen Problem For The One-Dimension Infinite Deep Potential Well By Using Numerov Arithmetic

作　　者：余瑞兰[1] 蔺玉柱[1] 崔光磊[1] 

机构地区：[1]安徽师范大学物理电信学院

出　　处：《巢湖学院学报》2003年第3期43-47,共5页Journal of Chaohu University

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 。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.

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 

分 类 号：O413.1[理学—理论物理]