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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.03845 |
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| _version_ | 1866915854777581568 |
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| author | Clay, Adam Datchev, Kiril Miao, Wenlan Wasserman, Adam Daas, Kimberly J. Burke, Kieron |
| author_facet | Clay, Adam Datchev, Kiril Miao, Wenlan Wasserman, Adam Daas, Kimberly J. Burke, Kieron |
| contents | It seems self-evident that a density functional calculation should be normalized to the number of electrons in the system. We present multiple examples where the accuracy of the approximate energy is improved (sometimes greatly) by violating this basic principle. In one dimension, we explicitly derive the appropriate correction to the normalization. Beyond one dimension, Weyl asymptotics for energy levels yield these corrections for any cavity. We include examples with Coulomb potentials and the exchange energy of atoms to illustrate relevance to realistic calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03845 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximate normalizations for approximate density functionals Clay, Adam Datchev, Kiril Miao, Wenlan Wasserman, Adam Daas, Kimberly J. Burke, Kieron Chemical Physics Quantum Physics It seems self-evident that a density functional calculation should be normalized to the number of electrons in the system. We present multiple examples where the accuracy of the approximate energy is improved (sometimes greatly) by violating this basic principle. In one dimension, we explicitly derive the appropriate correction to the normalization. Beyond one dimension, Weyl asymptotics for energy levels yield these corrections for any cavity. We include examples with Coulomb potentials and the exchange energy of atoms to illustrate relevance to realistic calculations. |
| title | Approximate normalizations for approximate density functionals |
| topic | Chemical Physics Quantum Physics |
| url | https://arxiv.org/abs/2504.03845 |