Exact Hamiltonian for an analytic correlated ground-state wave function for He-like ions

C. Amovilli, N. H. March, I. A. Howard, Á Nagy

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A correlated three-parameter variational ground-state Ψ (r1, r2, r12) proposed by Chandrasekhar for helium-like ions gives a high percentage of the electron correlation energy resulting from the interaction energy e2 / r12 and also yields an analytic ground-state electron density ρ (r). Here, we extract via Schrödinger 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 ρ (r).

Original languageEnglish
Pages (from-to)4053-4056
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number22
DOIs
Publication statusPublished - May 26 2008

Keywords

  • Chandrasekhar wave function
  • Exact Hamiltonian

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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