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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.07708 |
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| _version_ | 1866912707813310464 |
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| author | Zalik, Richard A |
| author_facet | Zalik, Richard A |
| contents | Using properties of harmonic functions in multidimensional space, we transform the Hartree-Fock eigenvalue problem into a more tractable eigenvalue problem in which the Laplacian is eliminated. This new formulation may facilitate the development of novel ways of finding approximate solutions of the electronic problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07708 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Hartree-Fock Eigenvalue Problem Zalik, Richard A Classical Analysis and ODEs Mathematical Physics 35Q40 35P05 35J10 42C40 Using properties of harmonic functions in multidimensional space, we transform the Hartree-Fock eigenvalue problem into a more tractable eigenvalue problem in which the Laplacian is eliminated. This new formulation may facilitate the development of novel ways of finding approximate solutions of the electronic problem. |
| title | On the Hartree-Fock Eigenvalue Problem |
| topic | Classical Analysis and ODEs Mathematical Physics 35Q40 35P05 35J10 42C40 |
| url | https://arxiv.org/abs/2408.07708 |