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- W2008702632 abstract "The exact solution of a two-electron system in which the electron-electron interaction is Coulombic but the electron-nuclear attraction is a harmonic oscillator potential gives the following wave function: ${ensuremath{chi}}_{1}{ensuremath{chi}}_{2}f({r}_{12})$, where the $ensuremath{chi}'mathrm{s}$ are one-particle spherical harmonic oscillator wave functions. The exact $f({r}_{12})$ has only a small curvature in ${r}_{12}$, the distance between the two electrons. This exactly soluble model is used to gain some insight into electron correlation in actual two electron atoms and into the usual approximations. A variational trial function, $f({r}_{12})=1+ensuremath{alpha}{r}_{12}$, where $ensuremath{alpha}$ is a variable parameter, gives energies and even wave functions close to the exact solution. The correlation energy determined from an analytic Hartree-Fock solution and the average angle between the two electrons are somewhat less than in actual helium-like systems." @default.
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- W2008702632 date "1962-12-15" @default.
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- W2008702632 title "Study of Electron Correlation in Helium-Like Systems Using an Exactly Soluble Model" @default.
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- W2008702632 doi "https://doi.org/10.1103/physrev.128.2687" @default.
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