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

초록

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. (C) 2017 Elsevier Masson SAS. All rights reserved.

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