A Statistical Theory of Heavy Atoms: Asymptotic Behavior of the Energy\n and Stability of Matter

2021/01/16 by Heinz Siedentop, Siedentop, Heinz
Chemistry · Mathematics · #81V45 #FOS: Physical sciences #History and advancements in chemistry #Mathematical Physics (math-ph) #Random Matrices and Applications #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2101.06539

openalex publication_date 2021/01/16 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We give the asymptotic behavior of the ground state energy of Engel's and\nDreizler's relativistic Thomas-Fermi-Weizs "acker-Dirac functional for heavy\natoms for fixed ratio of the atomic number and the velocity of light. Using a\nvariation of the lower bound, we show stability of matter.\n

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