Sharp upper bounds for the density of relativistic atoms: Noninteracting case
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915918676754432 |
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| author | Frank, Rupert L. Merz, Konstantin |
| author_facet | Frank, Rupert L. Merz, Konstantin |
| contents | We prove an optimal upper bound for the density of electrons of an infinite Bohr atom (no electron-electron interactions) described by the relativistic operators of Chandrasekhar and Dirac. We also consider densities in each angular momentum channel separately. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04010 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sharp upper bounds for the density of relativistic atoms: Noninteracting case Frank, Rupert L. Merz, Konstantin Mathematical Physics Analysis of PDEs Spectral Theory We prove an optimal upper bound for the density of electrons of an infinite Bohr atom (no electron-electron interactions) described by the relativistic operators of Chandrasekhar and Dirac. We also consider densities in each angular momentum channel separately. |
| title | Sharp upper bounds for the density of relativistic atoms: Noninteracting case |
| topic | Mathematical Physics Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2604.04010 |