The regularity of electronic wave functions in Barron spaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915924740669440 |
|---|---|
| author | Yserentant, Harry |
| author_facet | Yserentant, Harry |
| contents | The electronic Schrödinger equation describes the motion of $N$ electrons under Coulomb interaction forces in a field of clamped nuclei. It is proved that its solutions for eigenvalues below the essential spectrum lie in the spectral Barron spaces $\mathcal{B}^s(\mathbb{R}^{3N})$ for $s<1$. The example of the hydrogen ground state shows that this result cannot be improved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The regularity of electronic wave functions in Barron spaces Yserentant, Harry Analysis of PDEs 35J10, 35B65, 68T07 The electronic Schrödinger equation describes the motion of $N$ electrons under Coulomb interaction forces in a field of clamped nuclei. It is proved that its solutions for eigenvalues below the essential spectrum lie in the spectral Barron spaces $\mathcal{B}^s(\mathbb{R}^{3N})$ for $s<1$. The example of the hydrogen ground state shows that this result cannot be improved. |
| title | The regularity of electronic wave functions in Barron spaces |
| topic | Analysis of PDEs 35J10, 35B65, 68T07 |
| url | https://arxiv.org/abs/2502.17950 |