| 薛定谔方程的数值求解 |
| |
| 引用本文： | 钟建生,石竹南,李俊来.薛定谔方程的数值求解[J].扬州大学学报(农业与生命科学版),2000,21(4):69-72. |
| |
| 作者姓名： | 钟建生 石竹南 李俊来 |
| |
| 作者单位： | 扬州大学理学院物理系,江苏,扬州,225002 |
| |
| 基金项目： | 江苏省教委自然科学基金项目! (99BJK170 0 0 2 ) |
| |
| 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 ,有很大的优越性
|
| 关 键 词： | 薛定谔方程 矩阵连分 拉普拉斯变换 扰动法 |
| 修稿时间： | 2000-06-20 |
NUMBERICAL SOLUTIONS OF THE SCHRODINGER EQUATION |
| |
| ZHONG Jian-sheng,SHI Zhu-nan,LI Jun-lai.NUMBERICAL SOLUTIONS OF THE SCHRODINGER EQUATION[J].Journal of Yangzhou University:Agricultural and Life Science Edition,2000,21(4):69-72. |
| |
| Authors: | ZHONG Jian-sheng SHI Zhu-nan LI Jun-lai |
| |
| Abstract: | 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. |
| |
| Keywords: | Schrodinger equation matrix continued fractions Laplace transformation perturbation methX |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
