Semi-classical limit of an attractive Fermi gas in one or two dimensions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914622569709568 |
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| author | Gamet, Thomas |
| author_facet | Gamet, Thomas |
| contents | We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each other through a negative potential, whose range is larger than the typical distance between particles. We show the convergence of the ground state energy of the Hamiltonian to a Thomas-Fermi energy in the large N limit. Furthermore, we prove convergence of the ground states, in the sense of their Husimi functions. These results extend to the case of a repulsive interaction of positive Fourier transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21640 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semi-classical limit of an attractive Fermi gas in one or two dimensions Gamet, Thomas Mathematical Physics Quantum Gases We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each other through a negative potential, whose range is larger than the typical distance between particles. We show the convergence of the ground state energy of the Hamiltonian to a Thomas-Fermi energy in the large N limit. Furthermore, we prove convergence of the ground states, in the sense of their Husimi functions. These results extend to the case of a repulsive interaction of positive Fourier transform. |
| title | Semi-classical limit of an attractive Fermi gas in one or two dimensions |
| topic | Mathematical Physics Quantum Gases |
| url | https://arxiv.org/abs/2602.21640 |