期刊
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
卷 42, 期 2, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/0953-4075/42/2/025001
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An exact analytical expression for the ground-state energy density functional for artificial two-electron atoms, in harmonic confinement, and with an inverse square law interaction u(r(12)) = lambda/r(12)(2) between the electrons, is derived. This is the first time when the ground-state energy is exactly exhibited as a functional of the density in the case of interacting fermions. To achieve this, a generalization for the given interparticle interaction of the 'noninteracting' virial theorem is also shown to be valid.
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