摘要
薛定谔方程的数值计算常用定态微动法、格林函数和玻恩近似等方法 ,然而这些方法要求哈密顿量 H偮阋欢ㄌ跫Ｓ捎谄湫拚降姆彼?,常常只能计算到二级修正。通过研究发现 ,用矩阵连分法数值求解薛定谔方程十分分便 。
The methods of Static minute perturbation, Green function and Born resemblance are applied to the numerical calculation of the Schrodinger equation. But the certain conditions of Hamiton quantity H^ should be gratified. Owing to the overelaborate procedure of revise formula, only band two of revise is reached. Our research indicates that the matrix continued fraction method is especially suitable for numerical calculations and it seems to be a most accurate and fastest method in the solution.
基金
江苏省教委自然科学基金项目! (99BJK170 0 0 2 )
关键词
薛定谔方程
矩阵连分法
拉普拉斯变换
扰动法
数值求解
Schrodinger equation
matrix continued fractions
Laplace transformation
perturbation methX
