The eigenvalue sum for a one-dimensional potential

DOI10.1006/aima.1994.1072zbMath0826.34070OpenAlexW2052671898MaRDI QIDQ1338864

Charles L. Fefferman, Luis A. Seco

Publication date: 23 November 1994

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

Full work available at URL: https://doi.org/10.1006/aima.1994.1072

zbMATH Keywords

asymptotic formulaordinary differential operatorground-state energy of an atomestimates for the sum of the negative eigenvalues

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)

An upper bound on the ionic ground state density at the nucleus ⋮ 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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