Abstract
Using a Hartree-Fock-like partitioning of the two-matrix in terms of the true correlated one-matrix, the corresponding approximate ground-state energy is calculated for an exactly solvable closed-shell system proposed earlier by Moshinsky [Am. J. Phys. 36, 52 (1968)]. Comparisons of with the Hartree-Fock ground-state energy and the exact ground-state energy are made. These comparisons provide valuable insight into the usefulness of a Hartree-Fock-like partitioning of the two-matrix with repulsive interparticle potentials. In particular, an explicit quantification for the applicability limit of Lieb’s [Phys. Rev. Lett. 46, 457 (1981)] bound with unbounded oscillator potentials is given.
- Received 3 December 2010
DOI:https://doi.org/10.1103/PhysRevA.83.034502
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