Dispersive Estimates for Harmonic Oscillator Systems

Details Dispersive Estimates for Harmonic Oscillator Systems Dispersive Estimates for Harmonic Oscillator Systems

2011-09-06

arxiv.org/abs/1109.1252v2

Physics

Mathematical Physics

Scientific paper

We consider a large class of harmonic systems, each defined as a quasi-free
dynamics on the Weyl algebra over $\ell^2(\mathbb{Z}^d)$. 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.

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