Restrictive Padé Approximation for the Solution of the SchröDinger Equation

Abstract

The problem of solving the Schrödinger equation by a method related to the restrictive Padé approximation is considered. It yields more accurate results. The complex tridiagonal system which arises from the finite difference discretization of the considered equation is solved by Evans-Roomi [1] method. The restrictive Padé approach is applied successfully for the one and two dimensional Schrödinger equations. It is shown by numerical examples that it is more efficient and gives faster results compared with classical finite difference methods.