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- W2067993025 abstract "The condition that the plane wave state is the lowest Hartree-Fock state of a large fermion system with repulsive interactions, is generally investigated and applied to the systems with $ensuremath{delta}$-type interactions, finite-range interactions, and long-range Coulomb interactions. It is found that for finite-range interactions the plane wave state is stable in both the high-density and low-density regions, but may become unstable in the intermediate-density region. The high-density stable region disappears for $ensuremath{delta}$-type interactions, while the low-density stable region vanishes for long-range Coulomb interactions. Especially for an electron gas, the critical value ${r}_{s}$ is smaller than 4.5. A speculation concerning the transition of the true ground state is discussed." @default.
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- W2067993025 date "1962-05-01" @default.
- W2067993025 modified "2023-10-18" @default.
- W2067993025 title "Stability of the Plane Wave Hartree-Fock Ground State" @default.
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- W2067993025 doi "https://doi.org/10.1103/physrev.126.887" @default.
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