[{"publication":"Reviews in Mathematical Physics","citation":{"short":"M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).","mla":"Falconi, Marco, et al. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” Reviews in Mathematical Physics, vol. 35, no. 4, 2350006, World Scientific Publishing, 2023, doi:10.1142/S0129055X2350006X.","chicago":"Falconi, Marco, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” Reviews in Mathematical Physics. World Scientific Publishing, 2023. https://doi.org/10.1142/S0129055X2350006X.","apa":"Falconi, M., Leopold, N. K., Mitrouskas, D. J., & Petrat, S. P. (2023). Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X2350006X","ieee":"M. Falconi, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “Bogoliubov dynamics and higher-order corrections for the regularized Nelson model,” Reviews in Mathematical Physics, vol. 35, no. 4. World Scientific Publishing, 2023.","ista":"Falconi M, Leopold NK, Mitrouskas DJ, Petrat SP. 2023. Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. 35(4), 2350006."},"article_type":"original","date_published":"2023-01-09T00:00:00Z","dc":{"source":["Falconi M, Leopold NK, Mitrouskas DJ, Petrat SP. Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. 2023;35(4). doi:10.1142/S0129055X2350006X"],"rights":["info:eu-repo/semantics/openAccess"],"title":["Bogoliubov dynamics and higher-order corrections for the regularized Nelson model"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1142/S0129055X2350006X","info:eu-repo/semantics/altIdentifier/issn/0129-055X","info:eu-repo/semantics/altIdentifier/wos/000909760300001","info:eu-repo/semantics/altIdentifier/arxiv/2110.00458"],"publisher":["World Scientific Publishing"],"date":["2023"],"language":["eng"],"identifier":["https://research-explorer.ista.ac.at/record/12430"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"description":["We study the time evolution of the Nelson model in a mean-field limit in which N nonrelativistic bosons weakly couple (with respect to the particle number) to a positive or zero mass quantized scalar field. Our main result is the derivation of the Bogoliubov dynamics and higher-order corrections. More precisely, we prove the convergence of the approximate wave function to the many-body wave function in norm, with a convergence rate proportional to the number of corrections taken into account in the approximation. We prove an analogous result for the unitary propagator. As an application, we derive a simple system of partial differential equations describing the time evolution of the first- and second-order approximations to the one-particle reduced density matrices of the particles and the quantum field, respectively."],"creator":["Falconi, Marco","Leopold, Nikolai K","Mitrouskas, David Johannes","Petrat, Sören P"]},"scopus_import":"1","day":"09","article_processing_charge":"No","uri_base":"https://research-explorer.ista.ac.at","_id":"12430","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","intvolume":" 35","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng"}],"issue":"4","oa":1,"external_id":{"arxiv":[],"isi":[]},"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2110.00458","open_access":"1"}],"isi":1,"quality_controlled":"1","language":[{}],"month":"01","publication_identifier":{"issn":[]},"publication_status":"published","department":[{"_id":"RoSe","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"author":[{"first_name":"Marco","last_name":"Falconi"},{"last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889","first_name":"Sören P","last_name":"Petrat"}],"date_updated":"2023-08-16T11:47:27Z","dini_type":"doc-type:article","date_created":"2023-01-29T23:00:59Z","volume":35,"article_number":"2350006","creator":{"id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","login":"dernst"}}]