Improving the accuracy of the Schrödinger-Poisson solution in CNWs and CNTs

Abstract

The Schrödinger equation, or the coupled Schrödinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in nanowires and nanotubes in the ballistic regime.