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Upper Estimates for Electronic Density in Heavy Atoms and Molecules
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abstract
We derive an upper estimate for electronic density $\rho_\Psi (x)$ in heavy atoms and molecules. While not sharp, on the distances $\gtrsim Z^{-1}$ from the nuclei it is still better than the known estimate $CZ^3$ ($Z$ is the total charge of the nuclei, $Z\asymp N$ the total number of electrons).
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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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