Strong Scott Conjecture

In heavy atoms and molecules, on the distances $a \ll Z^{-1/3}$ from one of the nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in $L^p$-norm, by the electronic density for a single atom in the model with no interactions between electrons. We cover also the relativistic ca...

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1. Verfasser: Ivrii, Victor
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Sprache:eng
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Zusammenfassung:In heavy atoms and molecules, on the distances $a \ll Z^{-1/3}$ from one of the nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in $L^p$-norm, by the electronic density for a single atom in the model with no interactions between electrons. We cover also the relativistic case.
DOI:10.48550/arxiv.1908.05478