| Symmetry groups and Gauss kernels of Schrdinger equations |
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| 作者姓名： | 康静 屈长征 |
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| 作者单位： | Department of Mathematics,Northwest University;Department of Mathematics,Ningbo University |
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| 基金项目： | supported by the National Natural Science Foundation of China for Distinguished Young Scholars (Grant No.10925104);the National Natural Science Foundation of China (Grant No.11001220);the Ph.D.Program Foundation of the Ministry of Education of China (Grant No.20106101110008) |
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| 摘 要： | The relationship between symmetries and Gauss kernels for the Schrdinger equation iut=uxx+f（x）u is established.It is shown that if the Lie point symmetries of the equation are nontrivial,a classical integral transformations of the Gauss kernels can be obtained.Then the Gauss kernels of Schrdinger equations are derived by inverting the integral transformations.Furthermore,the relationship between Gauss kernels for two equations related by an equivalence transformation is identified.
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| 关 键 词： | Schrdinger equation symmetry group Gauss kernel equivalence transformation |
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