A method for the numerical solution of the one-dimensional Schrödinger equation based on a matrix formulation of Numerov’s method is described. Some matrix theory leading to an efficient algorithm for the slicing of the spectrum of the related eigenproblem for a pair of tridiagonal matrices is developed. Finally the application of defect correction to the discretization gives a method of order of accuracy eight. Results of example calculations are presented.
No takes yet. Share an insight, caveat, or question.
Bengt Lindberg (1988) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: