{"publication":"Duke Mathematical Journal","publication_status":"published","issue":"3","doi":"10.1215/00127094-2019477","page":"435 - 495","type":"journal_article","oa":1,"_id":"2404","abstract":[{"lang":"eng","text":"The Lieb-Thirring inequalities give a bound on the negative eigenvalues of a Schrödinger operator in terms of an Lp-norm of the potential. These are dual to bounds on the H1-norms of a system of orthonormal functions. Here we extend these bounds to analogous inequalities for perturbations of the Fermi sea of noninteracting particles (i.e., for perturbations of the continuous spectrum of the Laplacian by local potentials)."}],"volume":162,"date_updated":"2021-01-12T06:57:17Z","publist_id":"4521","author":[{"full_name":"Frank, Rupert L","last_name":"Frank","first_name":"Rupert"},{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"status":"public","date_created":"2018-12-11T11:57:28Z","day":"01","publisher":"Duke University Press","year":"2013","month":"02","date_published":"2013-02-01T00:00:00Z","extern":1,"citation":{"mla":"Frank, Rupert, et al. “A Positive Density Analogue of the Lieb-Thirring Inequality.” <i>Duke Mathematical Journal</i>, vol. 162, no. 3, Duke University Press, 2013, pp. 435–95, doi:<a href=\"https://doi.org/10.1215/00127094-2019477\">10.1215/00127094-2019477</a>.","short":"R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.","ama":"Frank R, Lewin M, Lieb É, Seiringer R. A positive density analogue of the Lieb-Thirring inequality. <i>Duke Mathematical Journal</i>. 2013;162(3):435-495. doi:<a href=\"https://doi.org/10.1215/00127094-2019477\">10.1215/00127094-2019477</a>","ieee":"R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “A positive density analogue of the Lieb-Thirring inequality,” <i>Duke Mathematical Journal</i>, vol. 162, no. 3. Duke University Press, pp. 435–495, 2013.","chicago":"Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “A Positive Density Analogue of the Lieb-Thirring Inequality.” <i>Duke Mathematical Journal</i>. Duke University Press, 2013. <a href=\"https://doi.org/10.1215/00127094-2019477\">https://doi.org/10.1215/00127094-2019477</a>.","ista":"Frank R, Lewin M, Lieb É, Seiringer R. 2013. A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. 162(3), 435–495.","apa":"Frank, R., Lewin, M., Lieb, É., &#38; Seiringer, R. (2013). A positive density analogue of the Lieb-Thirring inequality. <i>Duke Mathematical Journal</i>. Duke University Press. <a href=\"https://doi.org/10.1215/00127094-2019477\">https://doi.org/10.1215/00127094-2019477</a>"},"intvolume":"       162","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1108.4246"}],"title":"A positive density analogue of the Lieb-Thirring inequality","quality_controlled":0}