{"title":"Mean-field dynamics for the Nelson model with fermions","article_processing_charge":"Yes (via OA deal)","language":[{"iso":"eng"}],"date_created":"2019-08-11T21:59:21Z","publication_identifier":{"eissn":["1424-0661"],"issn":["1424-0637"]},"file_date_updated":"2020-07-14T12:47:40Z","intvolume":"        20","project":[{"call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"day":"01","issue":"10","page":"3471–3508","publisher":"Springer Nature","article_type":"original","file":[{"date_updated":"2020-07-14T12:47:40Z","file_size":681139,"date_created":"2019-08-12T12:05:58Z","creator":"dernst","checksum":"b6dbf0d837d809293d449adf77138904","relation":"main_file","file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","content_type":"application/pdf","file_id":"6801","access_level":"open_access"}],"type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa_version":"Published Version","date_published":"2019-10-01T00:00:00Z","abstract":[{"lang":"eng","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."}],"ec_funded":1,"oa":1,"department":[{"_id":"RoSe"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","has_accepted_license":"1","date_updated":"2023-08-29T07:09:06Z","author":[{"full_name":"Leopold, Nikolai K","last_name":"Leopold","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","first_name":"Sören P","full_name":"Petrat, Sören P"}],"external_id":{"isi":["000487036900008"],"arxiv":["1807.06781"]},"quality_controlled":"1","doi":"10.1007/s00023-019-00828-w","_id":"6788","year":"2019","citation":{"ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508.","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>.","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>","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>.","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>","short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 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."},"publication":"Annales Henri Poincare","month":"10","scopus_import":"1","ddc":["510"],"volume":20,"publication_status":"published","license":"https://creativecommons.org/licenses/by/4.0/","isi":1,"status":"public"}