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Explicit energy density functional for the Crandall two-electron model atom with harmonic confinement and inverse square law inter-particle repulsion. (English) Zbl 1342.81744

Summary: Though density functional theory is already developed in useful practical numerical forms, no explicit simple ground-state energy density functional exists. Here, towards establishing such a theory, we present the ground-state energy of the R. Crandall, R. Whitnell and R. Bettega’s [“Exactly soluble two-electron atomic model”, Am. J. Phys. 52, No. 5, 438–442 (1984; doi:10.1119/1.13650)] two-electron spin-compensated model atom in terms of \(\nabla^2 \rho(r)/\rho(r)\) evaluated at \(r = 0\), where \(\rho(r)\) is the electron density.

MSC:

81V45 Atomic physics
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References:

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