The Sinc-Galerkin and Sinc-Collocation methods are presented to solve linear Schrodinger equation and obtain the electronic spectrum of linear Schrodinger equations. Some properties of the Sinc methods required for our subsequent development are given and utilized. In sequel, Sinc-Galerkin method is compared with Sinc-Collocation method. Numerical examples are included to demonstrate the validity and applicability of the presented techniques. We prove that the present methods are easy to implement and yields accurate results. Our main result is also that the Sinc-Collocation method fails for some potentials, but the Sinc-Galerkin method is successful.

提出了Sinc-Galerkin和Sinc-Collocation方法来求解线性薛定谔方程并获得线性薛定谔方程的电子谱。给出并利用了我们后续开发所需的 Sinc 方法的一些属性。接下来，将Sinc-Galerkin方法与Sinc-Collocation方法进行比较。包括数值示例以证明所提出技术的有效性和适用性。我们证明目前的方法易于实施并产生准确的结果。我们的主要结果也是 Sinc-Collocation 方法在某些势能上失败，但 Sinc-Galerkin 方法是成功的。