### Abstract

An explicit differential equation satisfied by the ground-state electron density of He-like ions is constructed for large atomic number Z. As in the authors' earlier work on the Hookean atom, the result is a linear third-order homogeneous differential equation. The first-order interacting density matrix is then written in terms of the ground-state electron density. A functional for the correlation kinetic energy is thereby exhibited in the large Z limit for these two-electron ions.

Original language | English |
---|---|

Pages (from-to) | 429-432 |

Number of pages | 4 |

Journal | Chemical Physics Letters |

Volume | 305 |

Issue number | 5-6 |

Publication status | Published - May 28 1999 |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Atomic and Molecular Physics, and Optics

### Cite this

*Chemical Physics Letters*,

*305*(5-6), 429-432.

**Differential equation for ground-state electron density of He-like ions for large atomic number.** / Gál, T.; March, N. H.; Nagy, A.

Research output: Contribution to journal › Article

*Chemical Physics Letters*, vol. 305, no. 5-6, pp. 429-432.

}

TY - JOUR

T1 - Differential equation for ground-state electron density of He-like ions for large atomic number

AU - Gál, T.

AU - March, N. H.

AU - Nagy, A.

PY - 1999/5/28

Y1 - 1999/5/28

N2 - An explicit differential equation satisfied by the ground-state electron density of He-like ions is constructed for large atomic number Z. As in the authors' earlier work on the Hookean atom, the result is a linear third-order homogeneous differential equation. The first-order interacting density matrix is then written in terms of the ground-state electron density. A functional for the correlation kinetic energy is thereby exhibited in the large Z limit for these two-electron ions.

AB - An explicit differential equation satisfied by the ground-state electron density of He-like ions is constructed for large atomic number Z. As in the authors' earlier work on the Hookean atom, the result is a linear third-order homogeneous differential equation. The first-order interacting density matrix is then written in terms of the ground-state electron density. A functional for the correlation kinetic energy is thereby exhibited in the large Z limit for these two-electron ions.

UR - http://www.scopus.com/inward/record.url?scp=0038803200&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038803200&partnerID=8YFLogxK

M3 - Article

VL - 305

SP - 429

EP - 432

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 5-6

ER -