一维方势阱中束缚态粒子的归一化波函数  

The normalized wave functions of the particles bound in one-dimensional square potential wells

作　　者：尹建武[1] 王小梅[1] 

机构地区：[1]黄冈师范学院物理系,湖北黄州438000

出　　处：《黄冈师范学院学报》2004年第3期38-44,共7页Journal of Huanggang Normal University

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.本文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.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.

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 

分 类 号：O413.1[理学—理论物理]