{"quality_controlled":"1","day":"15","status":"public","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"}],"date_updated":"2024-01-30T14:17:23Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"intvolume":" 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).","isi":1,"volume":285,"article_type":"original","external_id":{"isi":["001071552300001"],"arxiv":["2303.04504"]},"has_accepted_license":"1","date_published":"2023-11-15T00:00:00Z","article_processing_charge":"Yes (via OA deal)","ddc":["510"],"file":[{"relation":"main_file","content_type":"application/pdf","date_updated":"2024-01-30T14:15:16Z","file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf","date_created":"2024-01-30T14:15:16Z","file_size":232934,"checksum":"28e424ad91be6219e9d321054ce3a412","creator":"dernst","success":1,"access_level":"open_access","file_id":"14915"}],"year":"2023","date_created":"2023-09-03T22:01:14Z","article_number":"110129","publication":"Journal of Functional Analysis","department":[{"_id":"RoSe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert"},{"first_name":"Jan Philip","full_name":"Solovej, Jan Philip","last_name":"Solovej"}],"language":[{"iso":"eng"}],"file_date_updated":"2024-01-30T14:15:16Z","publication_status":"published","oa":1,"scopus_import":"1","publisher":"Elsevier","type":"journal_article","citation":{"apa":"Seiringer, R., & Solovej, J. P. (2023). A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2023.110129","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.” Journal of Functional Analysis, vol. 285, no. 10, 110129, Elsevier, 2023, doi:10.1016/j.jfa.2023.110129.","ieee":"R. Seiringer and J. P. Solovej, “A simple approach to Lieb-Thirring type inequalities,” Journal of Functional Analysis, vol. 285, no. 10. Elsevier, 2023.","chicago":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110129.","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","ama":"Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 2023;285(10). doi:10.1016/j.jfa.2023.110129"},"oa_version":"Published Version","title":"A simple approach to Lieb-Thirring type inequalities","issue":"10","month":"11","doi":"10.1016/j.jfa.2023.110129","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"_id":"14254"}