The density in a one-dimensional potential

DOI10.1006/aima.1994.1061zbMath0811.34063OpenAlexW2019773267MaRDI QIDQ1340669

Luis A. Seco, Charles L. Fefferman

Publication date: 18 December 1994

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

Full work available at URL: https://semanticscholar.org/paper/4db14d80a6bdcd454dea040144e2c8aa736cb8fc

zbMATH Keywords

asymptotic formulanormalized eigenfunctionsground-state energy of an atomestimates for the eigenvaluesthe density

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (10)

An upper bound on the ionic ground state density at the nucleus ⋮ 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 ⋮ Accuracy of mean field approximations for atoms and molecules

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