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一维方势阱中束缚态粒子的归一化波函数
引用本文:尹建武,王小梅.一维方势阱中束缚态粒子的归一化波函数[J].黄冈师范学院学报,2004,24(3):38-44.
作者姓名:尹建武  王小梅
作者单位:黄冈师范学院,物理系,湖北,黄州,438000
摘    要:对在一维有限深势阱中运动的粒子,各类书籍都只给出了确定其处于束缚态时能级的方程,并未给出它们的归一化波函数.本完整地求出了一维有限深对称和不对称势阱中的归一化波函数,所得结果在势趋于无穷大时与无限深势阱中的波函数完全一致.

关 键 词:有限深势阱  无限深势阱  归一化波函数  束缚态  能级方程  薛定谔方程
文章编号:1003-8078(2004)03-0038-07
修稿时间:2003年12月10

The normalized wave functions of the particles bound in one-dimensional square potential wells
YIN Jian-wu,WANG Xiao-mei.The normalized wave functions of the particles bound in one-dimensional square potential wells[J].Journal of Huanggang Normal University,2004,24(3):38-44.
Authors:YIN Jian-wu  WANG Xiao-mei
Abstract:Till now no book has given the normalized wave functions for the particle freely moving in a one-dimensional finite potential well. This paper acquires the normalized wave functions of one-dimensional symmetric and asymmetric wells with finite potentials. The results are in accord with those of infinite wells when the potentials tends to infinite.
Keywords:finite potential well  infinite potential well  normalized wave function  
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