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Strong Scott Conjecture

2019/08/15 by Victor Ivrii, Ivrii, Victor · 1 citation
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Matrix Theory and Algorithms #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1908.05478

Abstract

In heavy atoms and molecules, on the distances a ≪ Z-1/3 from one of the nuclei (with a charge Zm) we prove that ρΨ(x) is approximated in Lp-norm, by the electronic density for a single atom in the model with no interactions between electrons. We cover also the relativistic case.

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