Geodesic
On the scattering problem for infinitely many fermions in dimensions d ≥3 at positive temperature
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 2, pp. 393-416

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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.

DOI : 10.1016/j.anihpc.2017.05.002
Keywords: Hartree equation, Infinitely many particles, Scattering 
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     author = {Chen, Thomas and Hong, Younghun and Pavlovi\'c, Nata\v{s}a},
     title = {On the scattering problem for infinitely many fermions in dimensions \protect\emph{d}         \ensuremath{\geq}3 at positive temperature},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {393--416},
     publisher = {Elsevier},
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Chen, Thomas; Hong, Younghun; Pavlović, Nataša. On the scattering problem for infinitely many fermions in dimensions d         ≥3 at positive temperature. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 2, pp. 393-416. doi: 10.1016/j.anihpc.2017.05.002

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