On the scattering problem for infinitely many fermions in dimensions $d\geq3$ at positive temperature
Analysis of PDEs
2019-01-28 v2 Mathematical Physics
math.MP
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, and extends the important recent result of M. Lewin and J. Sabin 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 .
Keywords
Cite
@article{arxiv.1607.07958,
title = {On the scattering problem for infinitely many fermions in dimensions $d\geq3$ at positive temperature},
author = {Thomas Chen and Younghun Hong and Nataša Pavlović},
journal= {arXiv preprint arXiv:1607.07958},
year = {2019}
}