%0 Journal Article
%T Solving Time-Dependent Schrodinger Equations with Perturbed Collocation Method<br>用摄动配置方法求解含时薛定谔方程
%A BAI Jiejing
%A <br>白洁静
%J 系统科学与数学
%D 2008
%I 
%X The so-called perturbed collocation method is used to the time-dependent Schrodinger equation and a novel kind of numerical integration based on the computational realization is proposed. A 2-stage 2-order and a 3-stage 4-order symplectic perturbed collocation methods are constructed and used tosimulate this Schrodinger equation numerically. The numerical experiments by using the two equivalent symplectic Runge-Kutta methods and two non-symplectic methods of the same order show that the new numerical integration method is effective.
%K Time-dependent schrodinger equation
%K perturbed collocation method
%K symplectic method
%K Runge-Kutta method<br>含时薛定谔方程
%K 摄动配置算法
%K 辛方法
%K 龙格-库塔方法
%K 摄动
%K 配置方法
%K 求解
%K 含时薛定谔方程
%K SCHR
%K COLLOCATION
%K METHOD
%K 分析
%K 数值结果
%K 数值模拟
%K 辛方法
%K 理论
%K 配置格式
%K 检验
%K 数值算例
%K 积分方法
%K 特征
%K 结合
%K 计算实现
%K 应用
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=D17F267EB9B8B6CEBCB70ADB13D06921&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=B31275AF3241DB2D&sid=95F0D0DE8CD6F434&eid=8DDBA6455F2E3ECF&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=15