{"citation":{"mla":"Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3, Elsevier, 2007, pp. 389–99, doi:<a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">10.1016/S0034-4877(07)80074-7</a>.","ieee":"É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous symmetry breaking,” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3. Elsevier, pp. 389–399, 2007.","chicago":"Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” <i>Reports on Mathematical Physics</i>. Elsevier, 2007. <a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">https://doi.org/10.1016/S0034-4877(07)80074-7</a>.","ista":"Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.","ama":"Lieb É, Seiringer R, Yngvason J. Bose-Einstein condensation and spontaneous symmetry breaking. <i>Reports on Mathematical Physics</i>. 2007;59(3):389-399. doi:<a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">10.1016/S0034-4877(07)80074-7</a>","apa":"Lieb, É., Seiringer, R., &#38; Yngvason, J. (2007). Bose-Einstein condensation and spontaneous symmetry breaking. <i>Reports on Mathematical Physics</i>. Elsevier. <a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">https://doi.org/10.1016/S0034-4877(07)80074-7</a>","short":"É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399."},"type":"journal_article","title":"Bose-Einstein condensation and spontaneous symmetry breaking","issue":"3","month":"06","_id":"2370","doi":"10.1016/S0034-4877(07)80074-7","publication_status":"published","volume":59,"publisher":"Elsevier","oa":1,"page":"389 - 399","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0610034","open_access":"1"}],"author":[{"last_name":"Lieb","full_name":"Lieb, Élliott H","first_name":"Élliott"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"extern":1,"publist_id":"4556","quality_controlled":0,"date_published":"2007-06-01T00:00:00Z","year":"2007","day":"01","date_created":"2018-12-11T11:57:16Z","status":"public","abstract":[{"lang":"eng","text":"After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long-range order for models of magnets a general proof of spontaneous breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented. The proof is based on a rigorous validation of Bogoliubov's c-number substitution for the k = 0 mode operator α0."}],"publication":"Reports on Mathematical Physics","intvolume":"        59","date_updated":"2021-01-12T06:57:04Z"}