The atomic density on the Thomas-Fermi length scale for the Chandrasekhar Hamiltonian

DOI10.1016/S0034-4877(19)30057-6zbMath1448.81477arXiv1810.00632OpenAlexW3102607037WikidataQ127644692 ScholiaQ127644692MaRDI QIDQ2194250

Konstantin Merz, Heinz Siedentop

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00632

zbMATH Keywords

heavy atomsThomas-Fermi theoryground state densityrelativistic Coulomb system

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (2)

The Scott conjecture for large Coulomb systems: a review ⋮ Seven useful questions in density functional theory

Cites Work

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• The energy of heavy atoms according to Brown and Ravenhall: the Scott correction
• The ground state energy of heavy atoms: Relativistic lowering of the leading energy correction
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• The Thomas-Fermi theory of atoms, molecules and solids
• The ground state energy of heavy atoms: the leading correction
• The large-Z Behavior of pseudorelativistic atoms
• Relativistic Scott correction for atoms and molecules
• The ground-state energy of heavy atoms according to Brown and Ravenhall: absence of relativistic effects in leading order

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