关于1维无限深势阱问题的两点注记

Two Notes on the One-dimensional Infinitely Deep Potential Well

分析了1维无限深势阱问题传统解法的缺陷,讨论了用平移坐标法求解1维无限深势阱问题,讨论了势阱宽度对能量以及波函数的影响问题。简化了本征函数的求解过程,给出了"阱宽越小,能级间间距越大,能量值越大;阱宽越小,波函数的空间分布上的起伏就越明显"的结论。

Defects in solving traditional problem of one--dimensional infinite deep potential well are analyzed. Coordinate translation method in solving the problem is discussed. The influence of potential well on energy and wave function is discussed. Process in solving Eigenfunction is simplified. The below conclusions are obtained, i. e. , the smaller well width is, the greater space between energy levels is, the greater energy value is; the smaller well width is, the more obvious the ups and downs on spatial distribution of wave function are.