Analyticity of the density of electronic wavefunctions

DOI10.1007/BF02432911zbMath1068.35118arXivmath-ph/0211075OpenAlexW2162374753MaRDI QIDQ1880444

Thomas Østergaard Sørensen, Søren Fournais, Thomas Hoffmann-Ostenhof, Maria Hoffmann-Ostenhof

Publication date: 28 September 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0211075

zbMATH Keywords

Hamiltoniansingular perturbationsCoulomb potential

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Molecular physics (81V55)

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Cites Work

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• Local properties of Coulombic wave functions
• The electron density is smooth away from Nuclei
• Schrödinger semigroups
• On the eigenfunctions of many-particle systems in quantum mechanics
• Electron wavefunctions and densities for atoms