{"isi":1,"main_file_link":[{"url":"https://arxiv.org/abs/1704.04819","open_access":"1"}],"date_published":"2020-07-01T00:00:00Z","type":"journal_article","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"07","issue":"7","page":"2331-2403","oa_version":"Preprint","volume":22,"title":"The excitation spectrum of Bose gases interacting through singular potentials","publication_identifier":{"issn":["14359855"]},"article_processing_charge":"No","oa":1,"quality_controlled":"1","article_type":"original","publication_status":"published","year":"2020","day":"01","citation":{"chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society, 2020. <a href=\"https://doi.org/10.4171/JEMS/966\">https://doi.org/10.4171/JEMS/966</a>.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European Mathematical Society 22 (2020) 2331–2403.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. <i>Journal of the European Mathematical Society</i>. 2020;22(7):2331-2403. doi:<a href=\"https://doi.org/10.4171/JEMS/966\">10.4171/JEMS/966</a>","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., &#38; Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. <i>Journal of the European Mathematical Society</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JEMS/966\">https://doi.org/10.4171/JEMS/966</a>","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” <i>Journal of the European Mathematical Society</i>, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.","mla":"Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” <i>Journal of the European Mathematical Society</i>, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:<a href=\"https://doi.org/10.4171/JEMS/966\">10.4171/JEMS/966</a>."},"status":"public","date_created":"2020-06-29T07:59:35Z","publication":"Journal of the European Mathematical Society","external_id":{"isi":["000548174700006"],"arxiv":["1704.04819"]},"department":[{"_id":"RoSe"}],"_id":"8042","doi":"10.4171/JEMS/966","scopus_import":"1","intvolume":"        22","publisher":"European Mathematical Society","author":[{"full_name":"Boccato, Chiara","first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato"},{"last_name":"Brennecke","full_name":"Brennecke, Christian","first_name":"Christian"},{"first_name":"Serena","full_name":"Cenatiempo, Serena","last_name":"Cenatiempo"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"}],"language":[{"iso":"eng"}],"date_updated":"2023-08-22T07:47:04Z","abstract":[{"lang":"eng","text":"We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N."}]}