{"status":"public","day":"07","year":"2014","type":"journal_article","citation":{"ama":"Chen T, Hainzl C, Pavlović N, Seiringer R. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. <i>Letters in Mathematical Physics</i>. 2014;104(7):871-891. doi:<a href=\"https://doi.org/10.1007/s11005-014-0693-2\">10.1007/s11005-014-0693-2</a>","mla":"Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” <i>Letters in Mathematical Physics</i>, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:<a href=\"https://doi.org/10.1007/s11005-014-0693-2\">10.1007/s11005-014-0693-2</a>.","ista":"Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 104(7), 871–891.","apa":"Chen, T., Hainzl, C., Pavlović, N., &#38; Seiringer, R. (2014). On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-014-0693-2\">https://doi.org/10.1007/s11005-014-0693-2</a>","short":"T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.","chicago":"Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” <i>Letters in Mathematical Physics</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s11005-014-0693-2\">https://doi.org/10.1007/s11005-014-0693-2</a>.","ieee":"T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” <i>Letters in Mathematical Physics</i>, vol. 104, no. 7. Springer, pp. 871–891, 2014."},"publisher":"Springer","doi":"10.1007/s11005-014-0693-2","title":"On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti","oa_version":"Submitted Version","scopus_import":1,"intvolume":"       104","oa":1,"project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"month":"05","publication":"Letters in Mathematical Physics","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1311.2136"}],"date_created":"2018-12-11T11:56:12Z","date_updated":"2021-01-12T06:55:51Z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","page":"871 - 891","volume":104,"_id":"2186","issue":"7","department":[{"_id":"RoSe"}],"publication_status":"published","language":[{"iso":"eng"}],"abstract":[{"text":"We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii (GP) hierarchy in ℝ3. Moreover, we show that an exponential energy growth condition commonly used in the well-posedness theory of the GP hierarchy is, in a specific sense, necessary. In fact, we prove that without the latter, there exist initial data for the focusing cubic GP hierarchy for which instantaneous blowup occurs.","lang":"eng"}],"publist_id":"4793","author":[{"first_name":"Thomas","full_name":"Chen, Thomas","last_name":"Chen"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"first_name":"Nataša","full_name":"Pavlović, Nataša","last_name":"Pavlović"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"date_published":"2014-05-07T00:00:00Z"}