| 试用矩阵连分法数值求解薛定谔方程 |
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| 引用本文： | 封国林,邵耀椿,李俊来.试用矩阵连分法数值求解薛定谔方程[J].扬州大学学报(农业与生命科学版),1996(4). |
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| 作者姓名： | 封国林 邵耀椿 李俊来 |
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| 作者单位： | 江苏农学院基础部 |
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| 摘 要： | 精确求解薛定谔方程是很困难的，运用矩阵连分法程序数值求解一维谐振子、中心力场的能级和相应的几率分布，并与理论值进行比较，发现矩阵连分法只需进行有限地截断，一般小于１０，就可以达到很高精确度。此外，在应用矩阵连分法求近似能级时，修正的哈密顿量不需要象微扰法那样，要求具有严格的限制条件，因而具有普适性
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| 关 键 词： | 矩阵连分法 拉普拉斯变换 三角递推关系 微扰法 |
NUMERICAL SOLUTIONS OF THE SCHODINGER EQUATION WITH MATHIX CONTINUED-FRACTIONS METHOD |
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| Feng Guolin,Sao Yaochun,Li Junlai.NUMERICAL SOLUTIONS OF THE SCHODINGER EQUATION WITH MATHIX CONTINUED-FRACTIONS METHOD[J].Journal of Yangzhou University:Agricultural and Life Science Edition,1996(4). |
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| Authors: | Feng Guolin Sao Yaochun Li Junlai |
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| Abstract: | Solutions of the Schrodinger Equation of an anhermonic oscillator and central field aregiven with matrix con-tinued fractions method, which coincide with the analytical approximatic theory such as perturation method. This matrixcontinued-faction method is especially suitable for numerical calctilations and for some problem, it seems to be most accurateand fastest method without inst rict condtions. |
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| Keywords: | matrix-continued fractions laplace transformation vector recurrence relation perturation method |
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