[{"title":"Ground state energy of the low density Fermi gas","_id":"2362","status":"public","author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Solovej, Jan","first_name":"Jan","last_name":"Solovej"}],"date_created":"2018-12-11T11:57:13Z","oa_version":"None","type":"journal_article","article_type":"original","abstract":[{"text":"Recent developments in the physics of low-density trapped gases make it worthwhile to verify old, well-known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials. We use and extend recently developed techniques to give a rigorous derivation of the asymptotic formula for the ground-state energy of a dilute gas of N fermions interacting with a short-range, positive potential of scattering length a. For spin-12 fermions, this is E∼E0+(22m)2πNa, where E0 is the energy of the noninteracting system and is the density. A similar formula holds in two dimensions (2D), with a replaced by ln(a2). Obviously this 2D energy is not the expectation value of a density-independent pseudopotential.","lang":"eng"}],"extern":"1","citation":{"apa":"Lieb, É., Seiringer, R., &#38; Solovej, J. (2005). Ground state energy of the low density Fermi gas. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">https://doi.org/10.1103/PhysRevA.71.053605</a>","chicago":"Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2005. <a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">https://doi.org/10.1103/PhysRevA.71.053605</a>.","ieee":"É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density Fermi gas,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 5. American Physical Society, 2005.","short":"É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).","ista":"Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).","ama":"Lieb É, Seiringer R, Solovej J. Ground state energy of the low density Fermi gas. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2005;71(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">10.1103/PhysRevA.71.053605</a>","mla":"Lieb, Élliott, et al. “Ground State Energy of the Low Density Fermi Gas.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 5, American Physical Society, 2005, doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">10.1103/PhysRevA.71.053605</a>."},"date_updated":"2026-08-07T09:13:21Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","issue":"5","publication_identifier":{"issn":["1094-1622"]},"OA_place":"repository","OA_type":"green","language":[{"iso":"eng"}],"publist_id":"4565","publication_status":"published","year":"2005","intvolume":"        71","date_published":"2005-05-01T00:00:00Z","article_processing_charge":"No","fulldoi":"https://doi.org/10.1103/PhysRevA.71.053605","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0412080","open_access":"1"}],"arxiv":1,"day":"01","oa":1,"external_id":{"arxiv":["abs/math-ph/0412080"]},"publisher":"American Physical Society","month":"05","volume":71,"doi":"10.1103/PhysRevA.71.053605"}]