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arXiv · 1109.1252

Dispersive Estimates for Harmonic Oscillator Systems

Vita Borovyk·Robert Sims
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Abstract

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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Vita Borovyk, Robert Sims. 2011-12-15. Dispersive Estimates for Harmonic Oscillator Systems. https://doi.org/10.1063/1.3677978

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