Solving quantum eigenvalue problems by discrete singular convolution

This paper explores the utility of a discrete singular convolution (DSC) al gorithm for solving the Schrodinger equation. DSC kernels of Shannon, Diric hlet, modified Dirichlet and de la Vallee Poussin are selected to illustrat e the present algorithm for obtaining eigenfunctions and eigenvalues. Four benchmark physical problems are employed to test numerical accuracy and spe ed of convergence of the present approach. Numerical results indicate that the present approach is efficient and reliable for solving the Schrodinger equation.