Method of discrete generator coordinates for the solution of the many- particle Schrödinger equation
type: Item
instance of: scholarly article
title: Method of discrete generator coordinates for the solution of the many- particle Schrödinger equation
zbMATH Open document ID: 0542.65082
author: D. P. Kostomarov
author: V. I. Kukulin
author: P. B. Sazonov
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1984-01-01T00:00:00Z
review text: This paper is dedicated to the computation of the eigenstates of a three- particle quantum system, although the method employed is generally applicable to higher dimension systems. It is of Ritz type, but the shape functions can be modified in the course of computation. This renders the method enough flexibility and leads to an optimal basis in respect to the accuracy of the computed solution. The variational formulation leads to an algebraic eigenvalue problem of high dimension and possibly ill- conditioning. It is solved by Cholesky decomposition. A numerical example is also discussed.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 35P15
zbMATH DE Number: 3862387
zbMATH Keywords: method of discrete generator coordinates
zbMATH Keywords: many-particle Schrödinger equation
zbMATH Keywords: Ritz method
zbMATH Keywords: ill-conditioning
zbMATH Keywords: Cholesky decomposition
zbMATH Keywords: numerical example
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3862387