Estimates on derivatives of Coulombic wave functions and their electron densities
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions Ψ, involving negative powers of the distance to the singularities of the many-body potential. We use these to derive bounds for all derivatives of the corresponding one-electron densities p, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.
Originalsprog | Engelsk |
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Tidsskrift | Journal fur die Reine und Angewandte Mathematik |
Vol/bind | 2021 |
Udgave nummer | 775 |
Sider (fra-til) | 1-38 |
Antal sider | 38 |
ISSN | 0075-4102 |
DOI | |
Status | Udgivet - 1 jun. 2021 |
Eksternt udgivet | Ja |
Bibliografisk note
Publisher Copyright:
© De Gruyter 2021.
ID: 373181009