On Csanyi's and Arias' Functional for Ground States Energy of Multi-Particle Fermion Systems: Asymptotics
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915867073183744 |
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| author | Siedentop, Heinz |
| author_facet | Siedentop, Heinz |
| contents | We show that Csanyi's and Arias' energy functional of the reduced one-particle density matrix is bounded from below by the Müller functional and bounded from above by the Hartree-Fock functional. We use this fact to derive an asymptotic expansion of the ground state energy of this functional which agrees with the quantum energy to third order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15301 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Csanyi's and Arias' Functional for Ground States Energy of Multi-Particle Fermion Systems: Asymptotics Siedentop, Heinz Mathematical Physics 81-V45, 81-V55, 81-V74 We show that Csanyi's and Arias' energy functional of the reduced one-particle density matrix is bounded from below by the Müller functional and bounded from above by the Hartree-Fock functional. We use this fact to derive an asymptotic expansion of the ground state energy of this functional which agrees with the quantum energy to third order. |
| title | On Csanyi's and Arias' Functional for Ground States Energy of Multi-Particle Fermion Systems: Asymptotics |
| topic | Mathematical Physics 81-V45, 81-V55, 81-V74 |
| url | https://arxiv.org/abs/2603.15301 |