The relationship between symmetries and Gauss kernels for the Schrdinger equation iu_t=u_(xx)+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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