Upper estimates for the electronic density in heavy atoms and molecules

DOI10.4171/ECR/18-1/13zbMath1479.35586arXiv1906.00611OpenAlexW4240135662MaRDI QIDQ2055113

Victor Ivrii

Publication date: 3 December 2021

Full work available at URL: https://arxiv.org/abs/1906.00611

zbMATH Keywords

Thomas-Fermi approximationelectronic density

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Many-body theory; quantum Hall effect (81V70)

Cites Work

• Error bound for the Hartree-Fock energy of atoms and molecules
• An upper bound for the atomic ground state density at the nucleus
• An upper bound on the ionic ground state density at the nucleus
• Heavy molecules in a strong magnetic field. III: Estimates for ionization energy and excessive charge.
• A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS
• Microlocal Analysis, Sharp Spectral Asymptotics and Applications V
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