A NOVEL NUMERICAL TECHNIQUE FOR SOLVING THE ONE-DIMENSIONAL SCHROEDINGER EQUATION USING MATRIX APPROACH - APPLICATION TO QUANTUM WELL STRUCTURES

A numerical technique that allows straightforward determination of bound-state and quasi-bound-state energy eigenvalues (and lifetimes of the latter) for arbitrary one-dimensional potentials is presented. The method involves straightforward multiplication of 2 × 2 matrices and does not involve any iterations. The applicability of the technique to the analysis of the quantum-well structures is also shown. Since the Schroedinger equation for a spherically symmetric potential can be transformed to a one-dimensional equation, all such problems can also be solved using this method.