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含时薛定谔方程的精细积分法
Precise Integration Method for the Time-dependent Schrdinger Equation
【摘要】 首先对含时薛定谔方程的空间变量进行离散,而后对含时部分进行时间平均处理,采用精细积分方法模拟其随时间的演化过程.数值结果显示该方法是有效的,二阶的近似方法能达到四阶以上的计算精度,而且是无条件稳定的.
【Abstract】 The spatial variable of the time-dependent Schrdinger equation was discretized,and the time-dependent part was treated by using the time average technique,then the time evolution of the system was simulated by the precise intergration method.The numerical results showed that this method was effective,and the second-order method was accurate up to fourth-order.Furthermore,it was unconditionally stable.
【关键词】 含时薛定谔方程;
中心差分格式;
精细积分法;
模方守恒;
【Key words】 time-dependent Schrdinger equation; central difference scheme; precise integration method; conservation of norm;
【Key words】 time-dependent Schrdinger equation; central difference scheme; precise integration method; conservation of norm;
【基金】 国家自然科学基金(10472059)
- 【文献出处】 山西大学学报(自然科学版) ,Journal of Shanxi University(Natural Science Edition) , 编辑部邮箱 ,2006年04期
- 【分类号】O411.1
- 【下载频次】290