{"extern":"1","title":"Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional","status":"public","month":"04","type":"journal_article","publication_identifier":{"issn":["0556-2791"]},"article_processing_charge":"No","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","article_type":"original","oa_version":"Published Version","date_created":"2018-12-11T11:57:07Z","date_published":"2000-04-01T00:00:00Z","scopus_import":"1","quality_controlled":"1","abstract":[{"lang":"eng","text":"The ground-state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy functional. We present here a rigorous proof of the asymptotic exactness of this approximation for the ground-state energy and particle density of a dilute Bose gas with a positive interaction."}],"author":[{"full_name":"Lieb, Élliott","last_name":"Lieb","first_name":"Élliott"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"citation":{"chicago":"Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2000. <a href=\"https://doi.org/10.1103/PhysRevA.61.043602\">https://doi.org/10.1103/PhysRevA.61.043602</a>.","apa":"Lieb, É., Seiringer, R., &#38; Yngvason, J. (2000). Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.61.043602\">https://doi.org/10.1103/PhysRevA.61.043602</a>","mla":"Lieb, Élliott, et al. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 61, no. 4, American Physical Society, 2000, pp. 436021–4360213, doi:<a href=\"https://doi.org/10.1103/PhysRevA.61.043602\">10.1103/PhysRevA.61.043602</a>.","ieee":"É. Lieb, R. Seiringer, and J. Yngvason, “Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 61, no. 4. American Physical Society, pp. 436021–4360213, 2000.","ista":"Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.","ama":"Lieb É, Seiringer R, Yngvason J. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2000;61(4):436021-4360213. doi:<a href=\"https://doi.org/10.1103/PhysRevA.61.043602\">10.1103/PhysRevA.61.043602</a>","short":"É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213."},"intvolume":"        61","publication_status":"published","external_id":{"arxiv":["math-ph/9908027"]},"publisher":"American Physical Society","year":"2000","volume":61,"day":"01","oa":1,"language":[{"iso":"eng"}],"main_file_link":[{"url":"http://arxiv.org/abs/math-ph/9908027","open_access":"1"}],"date_updated":"2023-05-03T12:47:08Z","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","_id":"2344","publist_id":"4583","issue":"4","doi":"10.1103/PhysRevA.61.043602","page":"436021 - 4360213"}