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Dispersive Estimates for Harmonic Oscillator Systems

Authors
  • Borovyk, Vita
  • Sims, Robert
Type
Published Article
Publication Date
Dec 15, 2011
Submission Date
Sep 06, 2011
Identifiers
DOI: 10.1063/1.3677978
Source
arXiv
License
Yellow
External links

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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