{"volume":2,"_id":"2318","acknowledgement":"Partial financial support by NSERC ","doi":"10.4171/JST/31","title":"Absence of bound states implies non-negativity of the scattering length","date_updated":"2021-01-12T06:56:44Z","author":[{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"month":"06","publication":"Journal of Spectral Theory","date_created":"2018-12-11T11:56:58Z","day":"24","publication_status":"published","date_published":"2012-06-24T00:00:00Z","type":"journal_article","citation":{"apa":"Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>","chicago":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>. European Mathematical Society, 2012. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>.","mla":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>.","ama":"Seiringer R. Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. 2012;2(3):321-328. doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>","ieee":"R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” <i>Journal of Spectral Theory</i>, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012.","ista":"Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.","short":"R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328."},"department":[{"_id":"RoSe"}],"oa_version":"Preprint","page":"321-328","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","status":"public","quality_controlled":"1","publisher":"European Mathematical Society","issue":"3","publist_id":"4609","language":[{"iso":"eng"}],"intvolume":"         2","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1204.0435"}],"year":"2012","abstract":[{"lang":"eng","text":"We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. "}],"oa":1}