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- W2165771960 abstract "We analyze the gauge dependence of the relativistic electron gas correlation energy ${E}_{mathrm{c}}$ resulting from the no-pair approximation. In particular, we evaluate the relativistic no-pair Lindhard function as the basic ingredient of the random-phase approximation (RPA) for ${E}_{mathrm{c}}.$ The resulting gauge-dependent no-pair RPA is compared with a gauge-invariant counterpart. The implications for relativistic density functionals are examined by applying the local-density approximation based on each of these forms of ${E}_{mathrm{c}}$ to atoms. It is found that the gauge dependence of ${E}_{mathrm{c}}$ is irrelevant on the overall level of accuracy obtained with present density functionals." @default.
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- W2165771960 date "1998-08-01" @default.
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- W2165771960 title "Relativistic exchange-correlation energy functional: Gauge dependence of the no-pair correlation energy" @default.
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- W2165771960 doi "https://doi.org/10.1103/physreva.58.993" @default.
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