| SOLVING SECOND ORDER DIFFERENTIAL EQUATIONS IN QUANTUM MECHANICS BYORDER REDUCTION |
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| 作者姓名： | C.Ted Chen |
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| 作者单位： | Grace Semiconductor |
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| 摘 要： | Solving the famous Hermite, Legendre, Laguerre and Chebyshev equations requires different techniques of unique character for each equation. By reducing these differential equations of second order to a common solvable differential equation of first order, a simple common solution is provided to cover all the existing standard solutions of these named equations. It is easier than the method of generating functions and more powerful than the Probenius method of power series.
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| 收稿时间： | 24 December 2001 |
SOLVING SECOND ORDER DIFFERENTIAL EQUATIONS IN QUANTUM MECHANICS BY ORDER REDUCTION |
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| C.Ted Chen.SOLVING SECOND ORDER DIFFERENTIAL EQUATIONS IN QUANTUM MECHANICS BYORDER REDUCTION[J].Acta Mathematica Scientia,2003,23(2):274-288. |
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| Authors: | CTed Chen |
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| Institution: | 1. Department of Mathematics, Ecole Normale Supérieure de Constantine, Constantine, Algeria;2. University Mohammed I, URAC05, FSO, MATSI Laboratory, Oujda, Morocco;3. LITA Laboratory, University of Lorraine, Metz, France |
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| Abstract: | Solving the famous Hermite, Legendre, Laguerre and Chebyshev equations requires different techniques of unique character for each equation. By reducing these differential equations of second order to a common solvable differential equation of first order, a simple common solution is provided to cover all the existing standard solutions of these named equations. It is easier than the method of generating functions and more powerful than the Probenius method of power series. |
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| Keywords: | Second order differential equations quantum mechanics common solution |
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