Estimates on derivatives of Coulombic wave functions and their electron densities
Research output: Contribution to journal › Journal article › Research › peer-review
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.
| Original language | English |
|---|---|
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 2021 |
| Issue number | 775 |
| Pages (from-to) | 1-38 |
| Number of pages | 38 |
| ISSN | 0075-4102 |
| DOIs | |
| Publication status | Published - 1 Jun 2021 |
| Externally published | Yes |
Bibliographical note
Funding Information:
This article may be reproduced in its entirety for non-commercial purposes. Søren Fournais was partially supported by a Sapere Aude Grant from the Independent Research Fund Denmark, Grant number DFF-4181-00221, and by the European Research Council, ERC grant agreement 202859. Thomas Østergaard Sørensen was partially supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868).
Publisher Copyright:
© De Gruyter 2021.
ID: 373181009