[{"oa":1,"ddc":["510","530"],"abstract":[{"lang":"eng","text":"We review recent progress towards a rigorous understanding of the Bogoliubov approximation for bosonic quantum many-body systems. We focus, in particular, on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A list of open problems will be discussed at the end."}],"date_published":"2014-06-26T00:00:00Z","author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert"}],"external_id":{"isi":["000341174600010"]},"title":"Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation","publication":"Journal of Mathematical Physics","language":[{"iso":"eng"}],"file":[{"access_level":"open_access","file_size":269171,"date_created":"2018-12-12T10:15:49Z","checksum":"ed0efc93c10f1341155f0316af617b82","content_type":"application/pdf","creator":"system","file_id":"5172","date_updated":"2020-07-14T12:45:17Z","relation":"main_file","file_name":"IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf"}],"article_number":"1.4881536","file_date_updated":"2020-07-14T12:45:17Z","issue":"7","has_accepted_license":"1","_id":"1821","date_updated":"2025-09-29T13:13:35Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Submitted Version","pubrep_id":"532","isi":1,"publisher":"American Institute of Physics","publication_status":"published","article_processing_charge":"No","quality_controlled":"1","month":"06","publist_id":"5285","department":[{"_id":"RoSe"}],"project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"type":"journal_article","scopus_import":"1","volume":55,"day":"26","doi":"10.1063/1.4881536","status":"public","corr_author":"1","year":"2014","intvolume":"        55","citation":{"apa":"Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4881536\">https://doi.org/10.1063/1.4881536</a>","mla":"Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:<a href=\"https://doi.org/10.1063/1.4881536\">10.1063/1.4881536</a>.","chicago":"Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2014. <a href=\"https://doi.org/10.1063/1.4881536\">https://doi.org/10.1063/1.4881536</a>.","ama":"Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. <i>Journal of Mathematical Physics</i>. 2014;55(7). doi:<a href=\"https://doi.org/10.1063/1.4881536\">10.1063/1.4881536</a>","ieee":"R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7. American Institute of Physics, 2014.","short":"R. Seiringer, Journal of Mathematical Physics 55 (2014).","ista":"Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 55(7), 1.4881536."},"date_created":"2018-12-11T11:54:11Z"}]