Dispersive Estimates for Harmonic Oscillator Systems
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math.MP
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estimatesdispersiveharmonicsystemsalgebraboundsclassconsider
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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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