article published yes Niels P Benedikter author 3DE6C32A-F248-11E8-B48F-1D18A9856A870000-0002-1071-6091 Phan Thành Nam author Marcello Porta author Benjamin Schlein author Robert Seiringer author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521 RoSe department Analysis of quantum many-body systems project We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations. Springer Nature2022 eng 1424-0637 2103.08224 00072540570000110.1007/s00023-021-01136-y 2351725-1764 N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” <i>Annales Henri Poincaré</i>, vol. 23, no. 5. Springer Nature, pp. 1725–1764, 2022. Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2022). Bosonization of fermionic many-body dynamics. <i>Annales Henri Poincaré</i>. Springer Nature. <a href="https://doi.org/10.1007/s00023-021-01136-y">https://doi.org/10.1007/s00023-021-01136-y</a> Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” <i>Annales Henri Poincaré</i>, vol. 23, no. 5, Springer Nature, 2022, pp. 1725–64, doi:<a href="https://doi.org/10.1007/s00023-021-01136-y">10.1007/s00023-021-01136-y</a>. Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. <i>Annales Henri Poincaré</i>. 2022;23(5):1725-1764. doi:<a href="https://doi.org/10.1007/s00023-021-01136-y">10.1007/s00023-021-01136-y</a> Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” <i>Annales Henri Poincaré</i>. Springer Nature, 2022. <a href="https://doi.org/10.1007/s00023-021-01136-y">https://doi.org/10.1007/s00023-021-01136-y</a>. N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré 23 (2022) 1725–1764. Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2022. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 23(5), 1725–1764. 105372021-12-12T23:01:28Z2025-04-14T07:26:53Z