Momentum Distribution of the Dilute Fermi Gas
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908829998907392 |
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| author | Benedikter, Niels Giacomelli, Emanuela L. Lauritsen, Asbjørn Bækgaard Lill, Sascha |
| author_facet | Benedikter, Niels Giacomelli, Emanuela L. Lauritsen, Asbjørn Bækgaard Lill, Sascha |
| contents | We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves the ground state energy up to the precision of the Huang--Yang formula, we rigorously derive its momentum distribution. Our result agrees with the formal perturbative argument of Belyakov (Sov. Phys. JETP 13: 850--851 (1961)). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12067 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Momentum Distribution of the Dilute Fermi Gas Benedikter, Niels Giacomelli, Emanuela L. Lauritsen, Asbjørn Bækgaard Lill, Sascha Mathematical Physics Quantum Gases Quantum Physics 81V74, 82D20, 81Q05 We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves the ground state energy up to the precision of the Huang--Yang formula, we rigorously derive its momentum distribution. Our result agrees with the formal perturbative argument of Belyakov (Sov. Phys. JETP 13: 850--851 (1961)). |
| title | Momentum Distribution of the Dilute Fermi Gas |
| topic | Mathematical Physics Quantum Gases Quantum Physics 81V74, 82D20, 81Q05 |
| url | https://arxiv.org/abs/2602.12067 |