APPLICATIONS OF REGULARIZED GREEN'S FUNCTION ON SCHRODINGER EQUATION OF 3D STRUCTURES WITH EXAMPLES

摘要

In this work, we present some applications of regularized version of Green's function for Helmholtz operator ∆~2 + K~2 in the space R~3 on Schrodinger Equation, to provide best possible and worthy approximation by segregation of singularities, smoothing solutions and extracting some expedient results by its use. To avoid singularities we use regularized Green's function for Helmholtz operator ∆~2 + K~2 in the space K~3 from theory of reproducing kernel Hilbert space as strong regularization limit by numerical approach.