A new method for computing eigenvalues of the radial Schrِdinger equation

A method has been developed for the numerical solution of the eigenvalue Schrِdinger equation. The eigenvalues are computed directly as roots of a function known in transmission line theory as the impedance. The novel numerical algorithm is based also on the piecewise perturbation analysis. The new method is much more efficient compared with the step function perturbative numerical method with second-order corrections, which is the most accurate method for computing eigenvalues of the Schrِdinger equation.