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math-ph2024
Dynamics of mean-field Fermi systems with nonzero pairing
Stefano Marcantoni, Marcello Porta, Julien Sabin
We study the dynamics of many-body Fermi systems, for a class of initial data which are close to quasi-free states exhibiting a nonvanishing pairing matrix. We focus on the mean-fi…
math-ph2024
Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime
Luca Fresta, Marcello Porta, Benjamin Schlein
We give a rigorous derivation of the Hartree equation for the many-body dynamics of pseudo-relativistic Fermi systems at high density , on arbitrarily large domains,…