Digital Commons @ Montana Tech

Title

Perturbation Theory of the Hooke's Law Model for the Two‐Electron Atom

Authors

Ronald White, Montana Tech of the University of Montana
W. Byers Brown, University of Wisconsin - Madison

Document Type

Article

Publication Date

11-15-1970

Abstract

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 of the correlation energy is compared with that for helium-like atoms and found to be similar.

Comments

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

The following article appeared in J. of Chem. Phys. 53, 3869 (1970); http://doi.org/10.1063/1.1673854 and may be found at http://aip.scitation.org/doi/abs/10.1063/1.1673854

Recommended Citation

R.J. White and W.B. Brown. The Z-1 perturbation theory of the Hooke's law model for the two-electron atom. J. Chem. Phys. 53:3869-3879, 1970.

Creative Commons License

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