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W.K.B近似条件下定态薛定谔方程的简单求解
引用本文:王肇庆,苏惠惠,余守宪.W.K.B近似条件下定态薛定谔方程的简单求解[J].四川大学学报(工程科学版),1994(2).
作者姓名:王肇庆  苏惠惠  余守宪
作者单位:成都科技大学应用物理系,北方交通大学物理系
摘    要:在势场变化缓慢且势场与粒子能量之差很大的条件下,W.K.B近似方法较好地求得势阱能级及势垒贯穿因子.本文在同样的条件下,采用一种新的方法得到完全相同的结果,并且避免了W.K.B方法中转折点附近波函数连接公式的极复杂的数学推导,保持了波函数的连续性,从而具有更多的优越性.

关 键 词:W.K.B法  薛定谔方程  求解

The Simple solution of Schrodinger Equation under W. K. B. Approximation Conditions
Wang Zhaoqing, Su Huihui, She Shouxian.The Simple solution of Schrodinger Equation under W. K. B. Approximation Conditions[J].Journal of Sichuan University (Engineering Science Edition),1994(2).
Authors:Wang Zhaoqing  Su Huihui  She Shouxian
Affiliation:Wang Zhaoqing; Su Huihui; She Shouxian
Abstract:This paper suggests a new methed for the solution of Schrodinger Equation tinder the same conditions as W. K. B. method needs. This new method avoided the very complicated mathematical derivation, while obtaining the joining formulae of wavefunctions at the turnpoints. Furthermore, the method gives the same energy-level formula and potential terrace penetrating factor as W. K. B. method does, and keeps the continuity of the wavefuntions at joining points.
Keywords:w  k  b  method  schrodinger equation  solution  
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