Abstract
Abstract For arbitrary interparticle interaction u ( r 12 ) , the model two-electron atom in the title is shown to be such that the ground-state electron density ρ ( r ) is determined uniquely by the correlated kinetic energy density t R ( r ) of the relative motion. Explicit results for t R ( r ) are presented for the Hookean atom with force constant k = 1 / 4 , and also for u ( r 12 ) = λ r 12 2 . Possible relevance of the Hookean atom treatment to the ground state of the helium atom itself is briefly discussed.
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