Limited regularity of a specific electronic reduced density matrix for molecules
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913582085570560 |
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| author | Jecko, Thierry Noûs, Camille |
| author_facet | Jecko, Thierry Noûs, Camille |
| contents | We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electronic collisions, we prove that the (N-1)-particle electronic reduced density matrix is not smooth.
To appear in Advances in Theoritical and Mathematical Physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06318 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Limited regularity of a specific electronic reduced density matrix for molecules Jecko, Thierry Noûs, Camille Mathematical Physics 81V55 81V70 35P99 81Q10 We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electronic collisions, we prove that the (N-1)-particle electronic reduced density matrix is not smooth. To appear in Advances in Theoritical and Mathematical Physics. |
| title | Limited regularity of a specific electronic reduced density matrix for molecules |
| topic | Mathematical Physics 81V55 81V70 35P99 81Q10 |
| url | https://arxiv.org/abs/2309.06318 |