### 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 | |

State | Published - Jan 4 2012 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*53*(1), [013302]. https://doi.org/10.1063/1.3677978

**Dispersive estimates for harmonic oscillator systems.** / Borovyk, Vita; Sims, Robert J.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 53, no. 1, 013302. https://doi.org/10.1063/1.3677978

}

TY - JOUR

T1 - Dispersive estimates for harmonic oscillator systems

AU - Borovyk, Vita

AU - Sims, Robert J

PY - 2012/1/4

Y1 - 2012/1/4

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84856442023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856442023&partnerID=8YFLogxK

U2 - 10.1063/1.3677978

DO - 10.1063/1.3677978

M3 - Article

AN - SCOPUS:84856442023

VL - 53

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

M1 - 013302

ER -