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