Upper bounds of local electronic densities in molecules

DOI10.14492/hokmj/2021-577arXiv2112.09521MaRDI QIDQ6185378

Sohei Ashida

Publication date: 8 January 2024

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.09521

zbMATH Keywords

eigenfunctionmoleculeelectronic density

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Hamilton's equations (70H05) A priori estimates in context of PDEs (35B45) Molecular physics (81V55) Motion of charged particles (78A35) Particle exchange symmetries in quantum theory (general) (81V72)

Cites Work

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• Third derivative of the one-electron density at the nucleus
• On the Born-Oppenheimer expansion for polyatomic molecules
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• Analyticity of the density of electronic wavefunctions
• Non-isotropic cusp conditions and regularity of the electron density of molecules at the nuclei
• Positivity of the spherically averaged atomic one-electron density
• Stability of Matter. I
• Introduction to Classical Mechanics
• Electron wavefunctions and densities for atoms

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