An equation on random variables and systems of fermions
Analysis of PDEs
2016-02-03 v2 Mathematical Physics
math.MP
Abstract
In this paper, we consider an equation on random variables which can be reduced to the equation which describes the evolution of systems of fermions. We give some results of well-posedness for this equation on the spheres and torus of dimension 2 and 3 and on the Euclidean space. We give results of scattering and blow-up on the Euclidean depending on if the equation is defocusing or focusing. We interpret the results in terms of the evolution of fermions.
Cite
@article{arxiv.1507.06180,
title = {An equation on random variables and systems of fermions},
author = {Anne-Sophie de Suzzoni},
journal= {arXiv preprint arXiv:1507.06180},
year = {2016}
}
Comments
39 pages