{"isi":1,"abstract":[{"text":"We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s predictions.","lang":"eng"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","type":"journal_article","publisher":"International Press of Boston","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1801.01389"}],"day":"07","title":"Bogoliubov theory in the Gross–Pitaevskii limit","oa":1,"intvolume":"       222","doi":"10.4310/acta.2019.v222.n2.a1","article_processing_charge":"No","citation":{"mla":"Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” <i>Acta Mathematica</i>, vol. 222, no. 2, International Press of Boston, 2019, pp. 219–335, doi:<a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">10.4310/acta.2019.v222.n2.a1</a>.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222 (2019) 219–335.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” <i>Acta Mathematica</i>. International Press of Boston, 2019. <a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">https://doi.org/10.4310/acta.2019.v222.n2.a1</a>.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory in the Gross–Pitaevskii limit,” <i>Acta Mathematica</i>, vol. 222, no. 2. International Press of Boston, pp. 219–335, 2019.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii limit. <i>Acta Mathematica</i>. 2019;222(2):219-335. doi:<a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">10.4310/acta.2019.v222.n2.a1</a>","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., &#38; Schlein, B. (2019). Bogoliubov theory in the Gross–Pitaevskii limit. <i>Acta Mathematica</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/acta.2019.v222.n2.a1\">https://doi.org/10.4310/acta.2019.v222.n2.a1</a>"},"external_id":{"isi":["000495865300001"],"arxiv":["1801.01389"]},"date_published":"2019-06-07T00:00:00Z","quality_controlled":"1","article_type":"original","_id":"7413","status":"public","department":[{"_id":"RoSe"}],"publication":"Acta Mathematica","author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","full_name":"Boccato, Chiara","last_name":"Boccato","first_name":"Chiara"},{"last_name":"Brennecke","full_name":"Brennecke, Christian","first_name":"Christian"},{"full_name":"Cenatiempo, Serena","last_name":"Cenatiempo","first_name":"Serena"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"}],"page":"219-335","issue":"2","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1871-2509"],"issn":["0001-5962"]},"volume":222,"year":"2019","date_updated":"2023-09-06T15:24:31Z","date_created":"2020-01-30T09:30:41Z","month":"06","publication_status":"published","oa_version":"Preprint","scopus_import":"1"}