The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics

2024/11/11 by Long Meng, Meng, Long, Heinz Siedentop +1
Physics and Astronomy · #35Q40 #81-V45 #Advanced Chemical Physics Studies #Analysis of PDEs (math.AP) #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2411.07046

openalex publication_date 2024/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study atomic ground state energies for neutral atoms as the nuclear charge Z is large in the no-pair formalism. We show that for a large class of projections defining the underlying Dirac sea -- covering not only the physical reasonable cases but also ``weird'' ones -- the corresponding no-pair ground state energy does not exceed the one of the Furry energy up to subleading order. An essential tool is the use and extension of Séré's results on atomic Dirac-Hartree-Fock theory.

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