A note on the validity of Bogoliubov correction to mean field dynamics Nam, Phan Napiórkowski, Marcin M We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states. Elsevier 2017 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/739 Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to mean field dynamics. <i>Journal de Mathématiques Pures et Appliquées</i>. 2017;108(5):662-688. doi:<a href="https://doi.org/10.1016/j.matpur.2017.05.013">10.1016/j.matpur.2017.05.013</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.matpur.2017.05.013 info:eu-repo/semantics/altIdentifier/issn/0021-7824 info:eu-repo/semantics/altIdentifier/wos/000414113600003 info:eu-repo/semantics/altIdentifier/arxiv/1604.05240 info:eu-repo/semantics/openAccess