{"date_updated":"2021-01-12T06:57:01Z","publication_status":"published","status":"public","issue":"5","year":"2005","extern":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0412080"}],"volume":71,"date_published":"2005-05-01T00:00:00Z","citation":{"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>.","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>.","short":"É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).","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.","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>","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).","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>"},"publist_id":"4565","type":"journal_article","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","_id":"2362","oa":1,"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"}],"date_created":"2018-12-11T11:57:13Z","author":[{"first_name":"Élliott","full_name":"Lieb, Élliott H","last_name":"Lieb"},{"full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jan","full_name":"Solovej, Jan P","last_name":"Solovej"}],"quality_controlled":0,"day":"01","intvolume":"        71","month":"05","publisher":"American Physical Society","doi":"10.1103/PhysRevA.71.053605","title":"Ground state energy of the low density Fermi gas"}