The quadrature discretization method (QDM) in the solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: The quadrature discretization method (QDM) in the solution of the Schrödinger equation
zbMATH Open document ID: 0916.65089
DOI: 10.1023/A:1019191223869
author: Heli Chen
author: Bernie D. Shizgal
publication date: 1999-07-06T00:00:00Z
review text: The main purpose of this paper is to consider the solutions of one-dimensional Schrödinger equation with the quadrature discretization method [cf. \textit{B. D. Shizgal} and \textit{H. Chen}, J. Chem. Phys. 104, 4137 (1996)]. The applications to four potential functions considered recently by several other researchers are presented. The eigenvalues and eigenfunctions are calculated and the results are compared with published values. The authors study also the rate of convergence of the eigenvalues versus the number of grid points for different weight functions.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 1251550
zbMATH Keywords: quadrature discretization method
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenfunctions
zbMATH Keywords: weight function
zbMATH Keywords: potential
zbMATH Keywords: convergence
reviewed by: S. Yanchuk
MaRDI profile type: Publication
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 1251550