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Thomas-Fermi approximation to electronic density
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abstract
In heavy atoms and molecules, on the distances $a \gg Z^{-1}$ from all of the nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in $L^p$-norm, by the Thomas-Fermi density.
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Strong Scott Conjecture
Near each nucleus of a heavy atom or molecule, the true ground-state electron density is close, with explicit L^p error bounds, to the density of a single non-interacting hydrogenic atom, in both nonrelativistic and r...
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