Dispersive Estimates for Harmonic Oscillator Systems
Mathematical Physics
2012-09-28 v2 math.MP
Abstract
We consider a large class of harmonic systems, each defined as a quasi-free dynamics on the Weyl algebra over . In contrast to recently obtained, short-time locality estimates, known as Lieb-Robinson bounds, we prove a number of long-time dispersive estimates for these models.
Keywords
Cite
@article{arxiv.1109.1252,
title = {Dispersive Estimates for Harmonic Oscillator Systems},
author = {Vita Borovyk and Robert Sims},
journal= {arXiv preprint arXiv:1109.1252},
year = {2012}
}