非齐次Schr??dinger方程的交替隐式格式
The Alternative Direction Implicit Scheme for Inhomogeneous Schr(o)dinger Equation

以Taylor展开为基本工具,研究了非齐次多维Schr(o)dinger方程的交替方向隐格式.此格式在时空方向均具有2阶精度,而且所需求解的代数方程组的阶数与1维问题一样,具有经济、实用、易于模块化编程实现等优点.数值实验主要检验了数值格式长时间的模拟能力、离散电荷随时间演化关系等.
Based on Taylor's expansion,an alternative direction implicit scheme was proposed for multidimensional Schr?dinger equation.The scheme is of second order both in time and space.Moreover,the scale of the algebraic equations resulting from the scheme is the same with a one-dimensional problem.It is economic,practical and can be coded modularly.Numerical experiments verify the long-term simulation of the developed scheme to original problem and the evolution of discrete charge against time