Thomas-Fermi approximation to electronic density

2019/11/08 by Victor Ivrii, Ivrii, Victor
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1911.03510

openalex publication_date 2019/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In heavy atoms and molecules, on the distances a ≫ Z^-1 from all of the nuclei (with a charge Z_m) we prove that ρ_Ψ(x) is approximated in L^p-norm, by the Thomas-Fermi density.

Citations

• Strong Scott Conjecture

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