{"abstract":[{"text":"The Bose-Einstein condensation (BEC) of the ground state of bosonic atoms in a trap was discussed. The BEC was proved for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrodinger equation. The BEC was 100% into the state which minimized the Gross-Pitaevskii energy functional. The analysis also included rigorous proof of BEC in a physically realistic, continuum model.","lang":"eng"}],"main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0112032","open_access":"1"}],"_id":"2349","issue":"17","date_published":"2002-04-29T00:00:00Z","extern":1,"citation":{"mla":"Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for Dilute Trapped Gases.” <i>Physical Review Letters</i>, vol. 88, no. 17, American Physical Society, 2002, pp. 1704091–94, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.88.170409\">10.1103/PhysRevLett.88.170409</a>.","ieee":"É. Lieb and R. Seiringer, “Proof of Bose-Einstein condensation for dilute trapped gases,” <i>Physical Review Letters</i>, vol. 88, no. 17. American Physical Society, pp. 1704091–1704094, 2002.","ama":"Lieb É, Seiringer R. Proof of Bose-Einstein condensation for dilute trapped gases. <i>Physical Review Letters</i>. 2002;88(17):1704091-1704094. doi:<a href=\"https://doi.org/10.1103/PhysRevLett.88.170409\">10.1103/PhysRevLett.88.170409</a>","apa":"Lieb, É., &#38; Seiringer, R. (2002). Proof of Bose-Einstein condensation for dilute trapped gases. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.88.170409\">https://doi.org/10.1103/PhysRevLett.88.170409</a>","ista":"Lieb É, Seiringer R. 2002. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 88(17), 1704091–1704094.","chicago":"Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for Dilute Trapped Gases.” <i>Physical Review Letters</i>. American Physical Society, 2002. <a href=\"https://doi.org/10.1103/PhysRevLett.88.170409\">https://doi.org/10.1103/PhysRevLett.88.170409</a>.","short":"É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094."},"publication_status":"published","date_updated":"2021-01-12T06:56:56Z","month":"04","doi":"10.1103/PhysRevLett.88.170409","page":"1704091 - 1704094","publication":"Physical Review Letters","day":"29","author":[{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521"}],"type":"journal_article","status":"public","quality_controlled":0,"title":"Proof of Bose-Einstein condensation for dilute trapped gases","publisher":"American Physical Society","year":"2002","volume":88,"date_created":"2018-12-11T11:57:08Z","publist_id":"4577","oa":1,"intvolume":"        88"}