Ground State Energy of Dilute Fermi Gases in 1D
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917399255580672 |
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| author | Agerskov, Johannes Reuvers, Robin Solovej, Jan Philip |
| author_facet | Agerskov, Johannes Reuvers, Robin Solovej, Jan Philip |
| contents | We study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behaviour is given in terms of the ground state energy of a spin chain, which is the Heisenberg antiferromagnet in the case of spin-1/2 fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ground State Energy of Dilute Fermi Gases in 1D Agerskov, Johannes Reuvers, Robin Solovej, Jan Philip Mathematical Physics Quantum Gases We study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behaviour is given in terms of the ground state energy of a spin chain, which is the Heisenberg antiferromagnet in the case of spin-1/2 fermions. |
| title | Ground State Energy of Dilute Fermi Gases in 1D |
| topic | Mathematical Physics Quantum Gases |
| url | https://arxiv.org/abs/2509.00536 |