[1]符莉丹,孔令华,王兰,等.非齐次Schrdinger方程的交替隐式格式[J].江西师范大学学报(自然科学版),2014,(02):167-170.
　FU Li-dan,KONG Ling-hua,WANG Lan,et al.The Alternative Direction Implicit Scheme for Inhomogeneous Schr(o)dinger Equation[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(02):167-170.
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非齐次Schrdinger方程的交替隐式格式()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年02期
页码:
167-170
栏目:
出版日期:
2014-04-30

文章信息/Info

Title:
The Alternative Direction Implicit Scheme for Inhomogeneous Schr(o)dinger Equation
作者:
符莉丹;孔令华;王兰;符芳芳;黄晓梅
江西师范大学数学与信息科学学院,江西南昌,330022；南昌工学院基础部,江西南昌,330108
Author(s):
FU Li-dan；KONG Ling-hua；WANG Lan；FU Fang-fang；HUANG Xiao-mei
关键词:
Schr(o)dinger方程; 交替方向法; Taylor展开
Keywords:
Schr(o)dinger equation; alternative direction implicit scheme; Taylor's expansion
分类号:
O241.8
文献标志码:
A
摘要:
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.
Abstract:
Based on Taylor's expansion,an alternative direction implicit scheme was proposed for multidimensional Schrödinger 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.

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备注/Memo

备注/Memo:
国家自然科学基金(11211171,11301234)；江西省自然科学基金(20114BAB201011)；江西省教育厅基金(GJJ12174)
更新日期/Last Update: 1900-01-01