Dispersive estimates for harmonic oscillator systems

Vita Borovyk; Robert Sims

doi:10.1063/1.3677978

Dispersive estimates for harmonic oscillator systems

Vita Borovyk, Robert Sims

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We consider a large class of harmonic systems, each defined as a quasi-free dynamics on the Weyl algebra over l ²(Z ²). 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.

Original language	English (US)
Article number	013302
Journal	Journal of Mathematical Physics
Volume	53
Issue number	1
DOIs	https://doi.org/10.1063/1.3677978
State	Published - Jan 4 2012

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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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 l 2(Z 2). 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.",

author = "Vita Borovyk and Robert Sims",

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AB - We consider a large class of harmonic systems, each defined as a quasi-free dynamics on the Weyl algebra over l 2(Z 2). 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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Dispersive estimates for harmonic oscillator systems

Abstract

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