{"oa":1,"has_accepted_license":"1","external_id":{"isi":["000462444300008"],"arxiv":["1807.00739"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"text":"We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system.","lang":"eng"}],"publisher":"Springer","license":"https://creativecommons.org/licenses/by/4.0/","isi":1,"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"oa_version":"Published Version","page":"1325–1365","doi":"10.1007/s00023-018-00757-0","publication":"Annales Henri Poincare","ec_funded":1,"intvolume":"        20","publication_identifier":{"issn":["14240637"]},"article_type":"original","day":"01","date_updated":"2023-09-07T12:37:42Z","language":[{"iso":"eng"}],"year":"2019","author":[{"full_name":"Moser, Thomas","first_name":"Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"month":"04","citation":{"ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.","ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” <i>Annales Henri Poincare</i>, vol. 20, no. 4. Springer, pp. 1325–1365, 2019.","mla":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>.","apa":"Moser, T., &#38; Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. Springer. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>","chicago":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>.","ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. 2019;20(4):1325–1365. doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365."},"related_material":{"record":[{"relation":"dissertation_contains","id":"52","status":"public"}]},"date_created":"2019-01-20T22:59:17Z","file_date_updated":"2020-07-14T12:47:12Z","scopus_import":"1","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"title":"Energy contribution of a point-interacting impurity in a Fermi gas","date_published":"2019-04-01T00:00:00Z","type":"journal_article","article_processing_charge":"Yes (via OA deal)","ddc":["530"],"department":[{"_id":"RoSe"}],"issue":"4","volume":20,"publication_status":"published","quality_controlled":"1","status":"public","file":[{"date_updated":"2020-07-14T12:47:12Z","date_created":"2019-01-28T15:27:17Z","file_id":"5894","file_size":859846,"relation":"main_file","access_level":"open_access","checksum":"255e42f957a8e2b10aad2499c750a8d6","file_name":"2019_Annales_Moser.pdf","creator":"dernst","content_type":"application/pdf"}],"_id":"5856"}