On the scattering problem for infinitely many fermions in dimensions d ≥ 3 at positive temperature
Thomas Chen
Department of Mathematics, University of Texas at Austin, USAYounghun Hong
Department of Mathematics, Yonsei University, Seoul, 120-749, Republic of KoreaNataša Pavlović
Department of Mathematics, University of Texas at Austin, USA
Abstract
In this paper, we study the dynamics of a system of infinitely many fermions in dimensions 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 . In the work at hand, we establish new, improved Strichartz estimates that allow us to control the case .
Cite this article
Thomas Chen, Younghun Hong, Nataša Pavlović, On the scattering problem for infinitely many fermions in dimensions d ≥ 3 at positive temperature. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 2, pp. 393–416
DOI 10.1016/J.ANIHPC.2017.05.002