Hydrogen atom in a finite linear space
type: Item
instance of: scholarly article
title: Hydrogen atom in a finite linear space
zbMATH Open document ID: 0959.65092
author: Rafael G. Campos
author: L. O. Pimentel
published in: Journal of Computational Physics
publication date: 2000-01-01T00:00:00Z
review text: In an earlier paper, a Galerkin-collocation-type techniques has been introduced which is based on a finite-dimensional matrix representation of a derivative obtained by Lagrange interpolation. In this paper, the technique is applied to calculate binding energies and eigenfunctions for the hydrogen atom. Three cases are considered: the Coulomb potential, the fine structure splitting, and the hydrogen atom in a uniform magnetic field. In the last case the problem is nonseparable in the coordinates and requires a modification of the method. Numerical results are presented.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 81V45
zbMATH DE Number: 1452594
zbMATH Keywords: Galerkin-collocation
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: binding energies
zbMATH Keywords: eigenfunctions
zbMATH Keywords: hydrogen atom
zbMATH Keywords: Coulomb potential
zbMATH Keywords: fine structure splitting
zbMATH Keywords: magnetic field
reviewed by: Waldemar Velte
MaRDI profile type: Publication
full work available at URL: jcph.2000.6446
OpenAlex ID: W2060515584
cites work: Q3661894
cites work: Interpolation in multidimensions, a convenient finite-dimensional matrix representation of the (partial) differential operators, and some applications
cites work: Q5170405
cites work: Solving singular nonliner two point boundary value problems
DOI: 10.1006/JCPH.2000.6446
description: scientific article; zbMATH DE number 1452594