{"abstract":[{"text":"We investigate the low-energy excitation spectrum of a Bose gas confined in a trap, with weak long-range repulsive interactions. In particular, we prove that the spectrum can be described in terms of the eigenvalues of an effective one-particle operator, as predicted by the Bogoliubov approximation.","lang":"eng"}],"date_published":"2013-09-01T00:00:00Z","extern":1,"page":"559 - 591","publist_id":"4518","title":"The excitation spectrum for weakly interacting Bosons in a trap","intvolume":" 322","publication":"Communications in Mathematical Physics","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1205.5259"}],"day":"01","_id":"2408","month":"09","citation":{"mla":"Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” *Communications in Mathematical Physics*, vol. 322, no. 2, Springer, 2013, pp. 559–91, doi:10.1007/s00220-013-1736-8.","ista":"Grech P, Seiringer R. 2013. The excitation spectrum for weakly interacting Bosons in a trap. Communications in Mathematical Physics. 322(2), 559–591.","apa":"Grech, P., & Seiringer, R. (2013). The excitation spectrum for weakly interacting Bosons in a trap. *Communications in Mathematical Physics*. Springer. https://doi.org/10.1007/s00220-013-1736-8","ieee":"P. Grech and R. Seiringer, “The excitation spectrum for weakly interacting Bosons in a trap,” *Communications in Mathematical Physics*, vol. 322, no. 2. Springer, pp. 559–591, 2013.","ama":"Grech P, Seiringer R. The excitation spectrum for weakly interacting Bosons in a trap. *Communications in Mathematical Physics*. 2013;322(2):559-591. doi:10.1007/s00220-013-1736-8","short":"P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.","chicago":"Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” *Communications in Mathematical Physics*. Springer, 2013. https://doi.org/10.1007/s00220-013-1736-8."},"year":"2013","author":[{"first_name":"Philip","full_name":"Grech, Philip","last_name":"Grech"},{"full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"type":"journal_article","status":"public","quality_controlled":0,"date_updated":"2021-01-12T06:57:18Z","issue":"2","oa":1,"date_created":"2018-12-11T11:57:29Z","volume":322,"publication_status":"published","publisher":"Springer","doi":"10.1007/s00220-013-1736-8"}