Spectral differentiation matrices for the numerical solution of Schrödinger's equation
Schrödinger's equation is solved numerically using the spectral collocation (pseudospectral) method based on Hermite weighted polynomial interpolants. Several sets of numerical results from the literature are reproduced using this approach. MATLAB codes that can serve as templates for further exploration are provided both in the paper and online. A new proposal is made for solving Schrödinger's equation in Stokes wedges. © 2006 IOP Publishing Ltd.