Numerical methods for solving Schroinger equations in complex reproducing kernel Hilbert spaces

In this paper, complex reproducing kernel Hilbert spaces and their reproducing kernels are introduced. The reproducing kernel is constructed by combining Gaussian radical basis function kernel and spline kernel. In the spaces, using the related theory, a novel numerical method is developed to solve Schroinger equations. The present method is a meshless method and does not require connection between nodes of the simulation domain. The results of numerical experiments show our method is simple and has high accuracy.