{"page":"389 - 399","month":"06","date_updated":"2021-01-12T06:57:04Z","volume":59,"date_created":"2018-12-11T11:57:16Z","publication":"Reports on Mathematical Physics","_id":"2370","title":"Bose-Einstein condensation and spontaneous symmetry breaking","quality_controlled":0,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0610034"}],"author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"first_name":"Jakob","full_name":"Yngvason, Jakob","last_name":"Yngvason"}],"date_published":"2007-06-01T00:00:00Z","day":"01","type":"journal_article","year":"2007","status":"public","citation":{"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>.","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.","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>","ista":"Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.","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>.","short":"É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.","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>"},"publication_status":"published","oa":1,"doi":"10.1016/S0034-4877(07)80074-7","intvolume":"        59","extern":1,"issue":"3","abstract":[{"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.","lang":"eng"}],"publisher":"Elsevier","publist_id":"4556"}