Exact asymptotic solution of the Della Sala-Görling integral equation for the exchange-only potential for Be-like atomic ions at large Z

I. A. Howard, N. H. March, A. Nagy

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Abstract

Della Sala and Görling (DSG) have written an integral equation for the exchange-only potential Vx (r) in terms of the Dirac density matrix. Here, an exact asymptotic solution of this integral equation is presented, for the ground state of Be-like atomic ions, in terms of γ (r, r) plus the 2s HOMO orbital. In the large Z limit of such ions, the DSG integral equation corrects the asymptotic form - e2 / r of Vx (r) by exponentially decaying terms. This amounts to setting the polarizability equal to zero.

Original languageEnglish
Pages (from-to)3256-3258
Number of pages3
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number18
DOIs
Publication statusPublished - Apr 28 2008

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integral equations
ions
orbitals
ground state

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "Della Sala and G{\"o}rling (DSG) have written an integral equation for the exchange-only potential Vx (r) in terms of the Dirac density matrix. Here, an exact asymptotic solution of this integral equation is presented, for the ground state of Be-like atomic ions, in terms of γ (r, r′) plus the 2s HOMO orbital. In the large Z limit of such ions, the DSG integral equation corrects the asymptotic form - e2 / r of Vx (r) by exponentially decaying terms. This amounts to setting the polarizability equal to zero.",
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T1 - Exact asymptotic solution of the Della Sala-Görling integral equation for the exchange-only potential for Be-like atomic ions at large Z

AU - Howard, I. A.

AU - March, N. H.

AU - Nagy, A.

PY - 2008/4/28

Y1 - 2008/4/28

N2 - Della Sala and Görling (DSG) have written an integral equation for the exchange-only potential Vx (r) in terms of the Dirac density matrix. Here, an exact asymptotic solution of this integral equation is presented, for the ground state of Be-like atomic ions, in terms of γ (r, r′) plus the 2s HOMO orbital. In the large Z limit of such ions, the DSG integral equation corrects the asymptotic form - e2 / r of Vx (r) by exponentially decaying terms. This amounts to setting the polarizability equal to zero.

AB - Della Sala and Görling (DSG) have written an integral equation for the exchange-only potential Vx (r) in terms of the Dirac density matrix. Here, an exact asymptotic solution of this integral equation is presented, for the ground state of Be-like atomic ions, in terms of γ (r, r′) plus the 2s HOMO orbital. In the large Z limit of such ions, the DSG integral equation corrects the asymptotic form - e2 / r of Vx (r) by exponentially decaying terms. This amounts to setting the polarizability equal to zero.

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