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- W2017018499 abstract "The method of point transformations enables us to generate an unknown wave function ${ensuremath{Psi}}_{ensuremath{rho}}$${(mathrm{{}mathrm{r}}_{k}$}) from a given electron density ensuremath{rho}(r) based on a reference wave function ${ensuremath{Psi}}_{0}$${(mathrm{{}mathrm{r}}_{k}$}) initially chosen for the system. The generated wave function ${ensuremath{Psi}}_{ensuremath{rho}}$${(mathrm{{}mathrm{r}}_{k}$}) can be used to evaluate the energy ${E}_{ensuremath{rho}}$ associated with the given density ensuremath{rho}(r). This procedure constitutes a rigorous density-functional theory, if the density ensuremath{rho}(r) and reference function ${ensuremath{Psi}}_{0}$${(mathrm{{}mathrm{r}}_{k}$}) are varied. Within the Hartree-Fock framework numerical applications are presented for the ground-state helium atom and its analogs both in position and momentum spaces. Simple position and momentum densities are reported that well reproduce the Hartree-Fock limit energy. A few calculations beyond the Hartree-Fock approximation are also given." @default.
- W2017018499 created "2016-06-24" @default.
- W2017018499 creator A5071593409 @default.
- W2017018499 date "1990-02-01" @default.
- W2017018499 modified "2023-10-16" @default.
- W2017018499 title "Point transformations applied to density-functional calculations" @default.
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- W2017018499 doi "https://doi.org/10.1103/physreva.41.1274" @default.
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