The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909663860097024 |
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| author | Meng, Long Siedentop, Heinz |
| author_facet | Meng, Long Siedentop, Heinz |
| contents | We study atomic ground state energies for neutral atoms as the nuclear charge $Z$ is large in the no-pair formalism. We show that for a large class of projections defining the underlying Dirac sea -- covering not only the physical reasonable cases but also ``weird'' ones -- the corresponding no-pair ground state energy does not exceed the one of the Furry energy up to subleading order. An essential tool is the use and extension of Séré's results on atomic Dirac-Hartree-Fock theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07046 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics Meng, Long Siedentop, Heinz Mathematical Physics Analysis of PDEs Quantum Physics 81-V45, 35Q40 We study atomic ground state energies for neutral atoms as the nuclear charge $Z$ is large in the no-pair formalism. We show that for a large class of projections defining the underlying Dirac sea -- covering not only the physical reasonable cases but also ``weird'' ones -- the corresponding no-pair ground state energy does not exceed the one of the Furry energy up to subleading order. An essential tool is the use and extension of Séré's results on atomic Dirac-Hartree-Fock theory. |
| title | The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics |
| topic | Mathematical Physics Analysis of PDEs Quantum Physics 81-V45, 35Q40 |
| url | https://arxiv.org/abs/2411.07046 |