On the scattering problem for infinitely many fermions in dimensions d ≥ 3 at positive temperature

In this paper, we study the dynamics of a system of infinitely many fermions in dimensions d≥3 near thermal equilibrium and prove scattering in the case of small perturbation around equilibrium in a certain generalized Sobolev space of density operators. This work is a continuation of our previous paper [11], and extends the important recent result of M. Lewin and J. Sabin in [19] of a similar type for dimension d=2. In the work at hand, we establish new, improved Strichartz estimates that allow us to control the case d≥3.