The density in a three-dimensional radial potential

DOI10.1006/aima.1995.1018zbMath0826.34071OpenAlexW2088793450MaRDI QIDQ1804657

Luis A. Seco, Charles L. Fefferman

Publication date: 4 December 1995

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1995.1018

zbMATH Keywords

estimateasymptotic formula for the ground-state energy of a non-relativistic atom

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) Atomic physics (81V45) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (8)

Sharp Weyl laws with singular potentials ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ The Scott conjecture for large Coulomb systems: a review ⋮ The ground state energy of heavy atoms: Relativistic lowering of the leading energy correction ⋮ A number-theoretic estimate for the thomas-fermi density ⋮ Eigenvalues and eigenfunctions of ordinary differential operators ⋮ The ground state energy of heavy atoms: the leading correction ⋮ The Scott correction in Dirac-Fock theory

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