{"date_published":"2024-07-02T00:00:00Z","publication_status":"epub_ahead","day":"02","publication":"Annales Henri Poincare","author":[{"first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard"}],"doi":"10.1007/s00023-024-01450-1","_id":"17240","project":[{"grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"language":[{"iso":"eng"}],"quality_controlled":"1","oa":1,"corr_author":"1","main_file_link":[{"url":"https://doi.org/10.1007/s00023-024-01450-1","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2024-07-14T22:01:12Z","citation":{"ista":"Lauritsen AB. 2024. Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. Annales Henri Poincare.","short":"A.B. Lauritsen, Annales Henri Poincare (2024).","ieee":"A. B. Lauritsen, “Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion,” <i>Annales Henri Poincare</i>. Springer Nature, 2024.","ama":"Lauritsen AB. Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. <i>Annales Henri Poincare</i>. 2024. doi:<a href=\"https://doi.org/10.1007/s00023-024-01450-1\">10.1007/s00023-024-01450-1</a>","mla":"Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State Energy of a Dilute Fermi Gas via Cluster Expansion.” <i>Annales Henri Poincare</i>, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00023-024-01450-1\">10.1007/s00023-024-01450-1</a>.","chicago":"Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State Energy of a Dilute Fermi Gas via Cluster Expansion.” <i>Annales Henri Poincare</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00023-024-01450-1\">https://doi.org/10.1007/s00023-024-01450-1</a>.","apa":"Lauritsen, A. B. (2024). Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-024-01450-1\">https://doi.org/10.1007/s00023-024-01450-1</a>"},"type":"journal_article","date_updated":"2024-07-16T06:13:29Z","month":"07","title":"Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nWe thank Alessandro Giuliani and Robert Seiringer for helpful discussions and Robert Seiringer for his comments on the manuscript. Financial support by the Austrian Science Fund (FWF) through Grant https://doi.org/10.55776/I6427 (as part of the SFB/TRR 352) is gratefully acknowledged.","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","publisher":"Springer Nature","abstract":[{"lang":"eng","text":"We prove an upper bound on the energy density of the dilute spin-\\(\\frac {1}{2}\\) Fermi gas capturing the leading correction to the kinetic energy\\(8\\pi a\\rho _\\uparrow\\rho _\\downarrow\\) with an error of size smaller than\\(a\\rho^{2}(a^ 3\\rho)^{1/3-\\varepsilon}\\) for any\\(\\varepsilon> 0\\), where a denotes the scattering length of the interaction. The result is valid for a large class of interactions including interactions with a hard core. A central ingredient in the proof is a rigorous version of a fermionic cluster expansion adapted from the formal expansion of Gaudin et al. (Nucl Phys A 176(2):237–260, 1971. https://doi.org/10.1016/0375-9474(71)90267-3)."}],"year":"2024","publication_identifier":{"issn":["1424-0637"]},"oa_version":"Published Version","department":[{"_id":"RoSe"}],"article_type":"original","status":"public"}