Schrdinger方程的时域差分数值解法  

The Programming of Numerical Solution of Schrdinger Equation by Difference-Time Domain Method

作　　者：王广保[1] 

机构地区：[1]滁州职业技术学院传媒工程系,安徽滁州239000

出　　处：《安徽师范大学学报（自然科学版）》2017年第2期135-138,共4页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(11374014)

摘　　要：将时域差分方法应用于求解量子体系的Schrdinger方程.详细推导了含Schrdinger方程的离散化公式,得到了耦合微分方程的差分格式,编写了相应的数值计算程序.以谐振子势为例,对程序代码作了检验,结果令人满意.A difference-time domain method applied in the solving the Schrodinger equation of quantum system is described. The discrete form of the time dependent Schrodinger equation and its corresponding difference format are derived in detail. The computational program code is written and compiled. Using the harmonic oscillator potential to verify the code, the computation show the program gives the satisfying result.

关 键 词：Schrddinger方程 时域差分 数值解 Fourier更换 

分 类 号：O56[理学—原子与分子物理]