| 关于福克-普朗克方程的解 |
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| 引用本文： | 李洪芳. 关于福克-普朗克方程的解[J]. 复旦学报(自然科学版), 1987, 0(3) |
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| 作者姓名： | 李洪芳 |
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| 作者单位： | 复旦大学物理学系 |
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| 摘 要： | 本文讨论了福克-普朗克方程的两种基本解法,即本征函数展开和路径积分方法.建立了福克-普朗克方程与薛定谔方程以及与经典动力学方程之间的联系.给出了c_1(x)=x、c_2(x)=1,以及c_1(x)=x+x~3、c_2(x)=x~4情况下福克-普朗克方程的精确解.
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| 关 键 词： | 福克-普朗克方程 薛定谔方程 路径积分 |
ON THE SOLUTION OF THE FOKKER-PLANCK EQUATION |
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| Li Hongfang. ON THE SOLUTION OF THE FOKKER-PLANCK EQUATION[J]. Journal of Fudan University(Natural Science), 1987, 0(3) |
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| Authors: | Li Hongfang |
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| Affiliation: | Department of Physics |
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| Abstract: | Two basic methods of solution of the Fokker-Planck equation, i. e. the method of the representation of eigenfunction and that of the path integral, are discussed. By those methods, the relations between the Fokker-Planck equation and Schrodinger equation, the Fokker-Planck equation and classical dynamic equation are found. The exact solution of the Fokker-Planck equation, in the case of c_1(x)=x, c_2(x) = 1 and c_1(x)=x+x~2,c_2(x) =x~4, are also given. |
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| Keywords: | Fokker-Planck equation Schrodinger equation path integral eigenfunction classical dynamic equation exact solution. |
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