Abstract
From the exact ground-state wave function of the two-electron Hookean atom, in which the Coulombic repulsion energy e 2/ r 12 between electrons 1 and 2 at separation r 12 is retained but the confinement is harmonic with external potential kr 2/2, the s-wave component is extracted for force constant k = 1/4. The radial electron density for this l = 0 component is compared with that for the exact ground-state density, and they are quantitatively very similar. Finally, a linear differential equation is found for the s-wave density and this equation is compared and contrasted with the known result for the exact case.
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