Title
Exact Hamiltonian for an analytic correlated ground-state wave function for He-like ions Exact Hamiltonian for an analytic correlated ground-state wave function for He-like ions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
372(2008) :22 , p. 4053-4056
ISSN
0375-9601
ISI
000256463900018
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
A correlated three-parameter variational ground-state Psi(r(1), r(2), r(12)) proposed by Chandrasekhar for helium-like ions gives a high percentage of the electron correlation energy resulting from the interaction energy e(2)/r(12) and also yields an analytic ground-state electron density rho(r). Here, we extract via Schrodinger equation an exact Hamiltonian for which the Chandrasekhar wave function is the ground-state. Properties of the potential energy function in this Hamiltonian are quantified. Finally, kinetic energy densities are plotted and related to the Laplacian of rho(r). (C) 2008 Elsevier B.V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/eb1c7b/8154131.pdf
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