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- W2013089716 abstract "A lower bound to the ground-state energy of an atom is formulated, using the pair density matrix ${ensuremath{Gamma}}^{(2)}$. The major problem in the development of such methods is that of finding necessary conditions on ${ensuremath{Gamma}}^{(2)}$ not satisfied by the current optimal class of density matrices. It is shown that the Bopp two-matrix ansatz suffers mainly from the Pauli principle not being satisfied. With the aid of an extensive set of system-dependent identities for ${ensuremath{Gamma}}^{(2)}$, numerical computations indicate how energy improvement will follow from insistence on the Pauli principle. A new necessary condition is conjectured which combines the Pauli condition on ${ensuremath{Gamma}}^{(1)}$ with a maximum eigenvalue condition on ${ensuremath{Gamma}}^{(2)}$." @default.
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- W2013089716 date "1969-03-05" @default.
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- W2013089716 title "Pauli-Principle Restriction on the Two Matrix of Bopp for Atomic Ground States" @default.
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- W2013089716 doi "https://doi.org/10.1103/physrev.179.45" @default.
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