{"title":"A simple approach to Lieb-Thirring type inequalities","doi":"10.1016/j.jfa.2023.110129","article_type":"original","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["001071552300001"],"arxiv":["2303.04504"]},"department":[{"_id":"RoSe"}],"publisher":"Elsevier","intvolume":"       285","author":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jan Philip","full_name":"Solovej, Jan Philip","last_name":"Solovej"}],"date_created":"2023-09-03T22:01:14Z","oa":1,"abstract":[{"text":"In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.","lang":"eng"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"publication":"Journal of Functional Analysis","type":"journal_article","date_published":"2023-11-15T00:00:00Z","citation":{"ama":"Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. <i>Journal of Functional Analysis</i>. 2023;285(10). doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">10.1016/j.jfa.2023.110129</a>","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","short":"R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).","mla":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” <i>Journal of Functional Analysis</i>, vol. 285, no. 10, 110129, Elsevier, 2023, doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">10.1016/j.jfa.2023.110129</a>.","chicago":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” <i>Journal of Functional Analysis</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">https://doi.org/10.1016/j.jfa.2023.110129</a>.","ieee":"R. Seiringer and J. P. Solovej, “A simple approach to Lieb-Thirring type inequalities,” <i>Journal of Functional Analysis</i>, vol. 285, no. 10. Elsevier, 2023.","apa":"Seiringer, R., &#38; Solovej, J. P. (2023). A simple approach to Lieb-Thirring type inequalities. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">https://doi.org/10.1016/j.jfa.2023.110129</a>"},"volume":285,"acknowledgement":"J.P.S. thanks the Institute of Science and Technology Austria for the hospitality and support during a visit where this work was done. J.P.S. was also partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) (grant No. 10059).","ddc":["510"],"year":"2023","scopus_import":"1","issue":"10","status":"public","oa_version":"Published Version","language":[{"iso":"eng"}],"isi":1,"file_date_updated":"2024-01-30T14:15:16Z","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"110129","file":[{"success":1,"date_updated":"2024-01-30T14:15:16Z","relation":"main_file","file_id":"14915","checksum":"28e424ad91be6219e9d321054ce3a412","date_created":"2024-01-30T14:15:16Z","access_level":"open_access","file_size":232934,"creator":"dernst","file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf","content_type":"application/pdf"}],"month":"11","day":"15","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14254","has_accepted_license":"1","license":"https://creativecommons.org/licenses/by/4.0/","publication_status":"published","date_updated":"2024-01-30T14:17:23Z"}