Dispersive estimates for harmonic oscillator systems

Vita Borovyk, Robert J Sims

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Article number013302
JournalJournal of Mathematical Physics
Volume53
Issue number1
DOIs
StatePublished - Jan 4 2012

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Dispersive Estimates
Harmonic Oscillator
harmonic oscillators
Weyl Algebra
estimates
Locality
algebra
Harmonic
harmonics
Estimate
Model
Class

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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

In: Journal of Mathematical Physics, Vol. 53, No. 1, 013302, 04.01.2012.

Research output: Contribution to journalArticle

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