Ground state energy of the dilute spin-polarized Fermi gas: Lower bound
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913245482188800 |
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| author | Lauritsen, Asbjørn Bækgaard Seiringer, Robert |
| author_facet | Lauritsen, Asbjørn Bækgaard Seiringer, Robert |
| contents | We prove a lower bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. This correction depends on the $p$-wave scattering length of the interaction and matches the corresponding upper bound in [J. Funct. Anal. 286.7 (2024), p. 110320]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17558 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ground state energy of the dilute spin-polarized Fermi gas: Lower bound Lauritsen, Asbjørn Bækgaard Seiringer, Robert Mathematical Physics We prove a lower bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. This correction depends on the $p$-wave scattering length of the interaction and matches the corresponding upper bound in [J. Funct. Anal. 286.7 (2024), p. 110320]. |
| title | Ground state energy of the dilute spin-polarized Fermi gas: Lower bound |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2402.17558 |