Averaged electron densities of the helium-like atomic systems

DOI10.1063/1.5129026zbMath1439.81094arXiv1908.00843OpenAlexW3101376121MaRDI QIDQ5110767

R. Krivec, Evgeny Z. Liverts

Publication date: 22 May 2020

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

Full work available at URL: https://arxiv.org/abs/1908.00843

zbMATH Keywords

approximation methodsseries expansionSchrödinger equationasymptotic analysiselectron densitycoordinate systemmany electron systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic expansions of solutions to PDEs (35C20) Atomic physics (81V45)

Cites Work

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• Three-body systems with Coulomb interaction. Bound and quasi-bound \(S\)-states
• The two-electron atomic systems. S-states
• Third derivative of the one-electron density at the nucleus
• Analyticity of the density of electronic wavefunctions
• Power series solution of coupled differential equations in one variable
• Positivity of the spherically averaged atomic one-electron density
• On the eigenfunctions of many-particle systems in quantum mechanics
• Electron wavefunctions and densities for atoms

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