{"date_published":"2012-06-01T00:00:00Z","page":"237 - 243","title":"The scattering length at positive temperature","date_created":"2018-12-11T11:57:25Z","abstract":[{"lang":"eng","text":"A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of -Δ and, with Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009), a bound was given in the case of finite range potentials and sufficiently low temperature. In this paper, we improve the bound and extend it to potentials of infinite range."}],"publisher":"Springer","citation":{"chicago":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>.","ama":"Landon B, Seiringer R. The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. 2012;100(3):237-243. doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>","ieee":"B. Landon and R. Seiringer, “The scattering length at positive temperature,” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3. Springer, pp. 237–243, 2012.","ista":"Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243.","apa":"Landon, B., &#38; Seiringer, R. (2012). The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>","mla":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>.","short":"B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243."},"author":[{"full_name":"Landon, Benjamin","first_name":"Benjamin","last_name":"Landon"},{"full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"oa":1,"month":"06","year":"2012","_id":"2396","extern":1,"day":"01","date_updated":"2021-01-12T06:57:13Z","status":"public","intvolume":"       100","publist_id":"4529","volume":100,"publication_status":"published","quality_controlled":0,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1111.1683"}],"issue":"3","doi":"10.1007/s11005-012-0566-5","publication":"Letters in Mathematical Physics","type":"journal_article"}