Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods

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.