Restrictive Pade approximation for the solution of the Schrodinger equation

The problem of solving the Schrodinger equation by a method related to the restrictive Pade 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 Pade approach is applied successfully for the one and two dimensional Schrodinger equations. It is shown by numerical examples that it is more efficient and gives faster results compared with classical finite difference methods.