[{"publication_identifier":{"issn":["1424-0637"],"eissn":["1424-0661"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"day":"01","corr_author":"1","intvolume":"        20","volume":20,"author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","last_name":"Leopold"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat","full_name":"Petrat, Sören P"}],"doi":"10.1007/s00023-019-00828-w","month":"10","isi":1,"publication_status":"published","has_accepted_license":"1","type":"journal_article","article_type":"original","abstract":[{"text":"We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take the non-relativistic particles to obey Fermi statistics and discuss the time evolution in a mean-field limit of many fermions. In this case, the limit is known to be also a semiclassical limit. We prove convergence in terms of reduced density matrices of the many-body state to a tensor product of a Slater determinant with semiclassical structure and a coherent state, which evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations.","lang":"eng"}],"article_processing_charge":"Yes (via OA deal)","publication":"Annales Henri Poincare","external_id":{"arxiv":["1807.06781"],"isi":["000487036900008"]},"page":"3471–3508","ddc":["510"],"language":[{"iso":"eng"}],"year":"2019","status":"public","ec_funded":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.","apa":"Leopold, N. K., &#38; Petrat, S. P. (2019). Mean-field dynamics for the Nelson model with fermions. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-019-00828-w\">https://doi.org/10.1007/s00023-019-00828-w</a>","ama":"Leopold NK, Petrat SP. Mean-field dynamics for the Nelson model with fermions. <i>Annales Henri Poincare</i>. 2019;20(10):3471–3508. doi:<a href=\"https://doi.org/10.1007/s00023-019-00828-w\">10.1007/s00023-019-00828-w</a>","ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508.","ieee":"N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model with fermions,” <i>Annales Henri Poincare</i>, vol. 20, no. 10. Springer Nature, pp. 3471–3508, 2019.","chicago":"Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” <i>Annales Henri Poincare</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s00023-019-00828-w\">https://doi.org/10.1007/s00023-019-00828-w</a>.","mla":"Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” <i>Annales Henri Poincare</i>, vol. 20, no. 10, Springer Nature, 2019, pp. 3471–3508, doi:<a href=\"https://doi.org/10.1007/s00023-019-00828-w\">10.1007/s00023-019-00828-w</a>."},"oa":1,"date_updated":"2025-04-14T07:27:00Z","scopus_import":"1","department":[{"_id":"RoSe"}],"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"file_date_updated":"2020-07-14T12:47:40Z","quality_controlled":"1","issue":"10","arxiv":1,"date_created":"2019-08-11T21:59:21Z","_id":"6788","title":"Mean-field dynamics for the Nelson model with fermions","oa_version":"Published Version","publisher":"Springer Nature","file":[{"checksum":"b6dbf0d837d809293d449adf77138904","content_type":"application/pdf","file_size":681139,"file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","date_updated":"2020-07-14T12:47:40Z","file_id":"6801","relation":"main_file","date_created":"2019-08-12T12:05:58Z","access_level":"open_access","creator":"dernst"}],"date_published":"2019-10-01T00:00:00Z"}]