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An upper bound for the atomic ground state density at the nucleus

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Publication:1338938
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DOI10.1007/BF00750664zbMath0807.35028MaRDI QIDQ1338938

Heinz Siedentop

Publication date: 23 November 1994

Published in: Letters in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

strong Scott conjectureupper bound on the atomic ground state density


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Atomic physics (81V45)


Related Items (3)

An upper bound on the ionic ground state density at the nucleus ⋮ The Scott conjecture for large Coulomb systems: a review ⋮ Upper estimates for the electronic density in heavy atoms and molecules



Cites Work

  • Unnamed Item
  • A proof of Scott's conjecture for ions
  • On some basic properties of density functionals for angular momentum channels
  • The Thomas-Fermi theory of atoms, molecules and solids
  • On the leading energy correction for the statistical model of the atom: Interacting case
  • Thomas-fermi and related theories of atoms and molecules
  • A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators


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