| Issue |
ESAIM: M2AN
Volume 57, Number 4, July-August 2023
|
|
|---|---|---|
| Page(s) | 2257 - 2282 | |
| DOI | https://doi.org/10.1051/m2an/2023054 | |
| Published online | 03 July 2023 | |
On the mixed regularity of N-body Coulombic wavefunctions
Dipartimento di Matematica, Universitá degli studi di Padova, Via Trieste, 63, 35131 Padova, PD, Italy
* Corresponding author: long.meng@enpc.fr
Received:
28
February
2022
Accepted:
9
June
2023
In this paper, we prove a new mixed regularity of Coulombic wavefunction taking into account the Pauli exclusion principle. We also study the hyperbolic cross space approximation of eigenfunctions associated with this new regularity, and deduce the corresponding error estimates in L2-norm and H1-semi-norm. The proofs are based on the study of extended Hardy-type inequalities for Coulomb-type potentials.
Mathematics Subject Classification: 35J10 / 35B65 / 41A25 / 41A63
Key words: Mixed regularity / N-body problem / hyperbolic cross approximation
© The authors. Published by EDP Sciences, SMAI 2023
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