On distances among Slater Determinant States and Determinantal Point Processes
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910069827829760 |
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| author | Boccato, Chiara Pieroni, Francesca Trevisan, Dario |
| author_facet | Boccato, Chiara Pieroni, Francesca Trevisan, Dario |
| contents | Determinantal processes provide mathematical modeling of repulsion among points. In quantum mechanics, Slater determinant states generate such processes, reflecting Fermionic behavior. This note exploits the connections between the former and the latter structures by establishing quantitative bounds in terms of trace/total variation and Wasserstein distances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08971 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On distances among Slater Determinant States and Determinantal Point Processes Boccato, Chiara Pieroni, Francesca Trevisan, Dario Mathematical Physics Probability Determinantal processes provide mathematical modeling of repulsion among points. In quantum mechanics, Slater determinant states generate such processes, reflecting Fermionic behavior. This note exploits the connections between the former and the latter structures by establishing quantitative bounds in terms of trace/total variation and Wasserstein distances. |
| title | On distances among Slater Determinant States and Determinantal Point Processes |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2504.08971 |