Scattering for a particle interacting with a Bose gas
Analysis of PDEs
2019-02-11 v1 Mathematical Physics
math.MP
Abstract
We study the asymptotic behavior of solutions to an ODE - Schr\"{o}dinger type system that models the interaction of a particle with a Bose gas. We show that the particle has a ballistic trajectory asymptotically, and that the wave function describing the Bose gas converges to a soliton in
Cite
@article{arxiv.1902.03012,
title = {Scattering for a particle interacting with a Bose gas},
author = {Tristan Léger},
journal= {arXiv preprint arXiv:1902.03012},
year = {2019}
}