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 Schröinger 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.

中文翻译：

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求解复杂的复制希尔伯特空间中Schröinger方程的数值方法

在本文中，介绍了复杂的复制核希尔伯特空间及其复制核。通过结合高斯根基函数核和样条核构造再生核。在空间中，利用相关理论，开发了一种新的数值方法来求解薛定inger方程。本方法是无网格方法，不需要仿真域的节点之间的连接。数值实验结果表明，该方法简单，准确。