Perturbation Theory of the Hooke's Law Model for the Two-Electron Atom
The Hooke model for the two-electron atom replaces the electron–nuclear interaction by a harmonic oscillator potential, but retains the Coulomb repulsion of the electrons. The first-order perturbation equation for the electron repulsion is solved analytically, and the exact first-, second-, and thir...
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Veröffentlicht in: | J. Chem. Phys. 53: 3869-79(15 Nov 1970) 1970, Vol.53 (10), p.3869-3879 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | The Hooke model for the two-electron atom replaces the electron–nuclear interaction by a harmonic oscillator potential, but retains the Coulomb repulsion of the electrons. The first-order perturbation equation for the electron repulsion is solved analytically, and the exact first-, second-, and third-order perturbation energies are obtained. A similar Z−1 perturbation treatment is carried out for the Hartree–Fock equation and other variational approximations. The Z−1 expansion of the correlation energy is compared with that for heliumlike atoms and found to be similar. |
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ISSN: | 0021-9606 1089-7690 |
DOI: | 10.1063/1.1673854 |