On the existence of the dynamics for anharmonic quantum oscillator systems

Bruno Nachtergaele, Benjamin Schlein, Robert J Sims, Shannon Starr, Valentin Zagrebnov

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We construct a W*-dynamical system describing the dynamics of a class of anharmonic quantum oscillator lattice systems in the thermodynamic limit. Our approach is based on recently proved Lieb-Robinson bounds for such systems on finite lattices [19].

Original languageEnglish (US)
Pages (from-to)207-231
Number of pages25
JournalReviews in Mathematical Physics
Volume22
Issue number2
DOIs
StatePublished - Mar 2010

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Lattice System
Thermodynamic Limit
Dynamical system
oscillators
dynamical systems
thermodynamics
Class

Keywords

  • Anharmonic lattice
  • Infinite-system dynamics
  • Thermodynamic limit

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On the existence of the dynamics for anharmonic quantum oscillator systems. / Nachtergaele, Bruno; Schlein, Benjamin; Sims, Robert J; Starr, Shannon; Zagrebnov, Valentin.

In: Reviews in Mathematical Physics, Vol. 22, No. 2, 03.2010, p. 207-231.

Research output: Contribution to journalArticle

Nachtergaele, Bruno ; Schlein, Benjamin ; Sims, Robert J ; Starr, Shannon ; Zagrebnov, Valentin. / On the existence of the dynamics for anharmonic quantum oscillator systems. In: Reviews in Mathematical Physics. 2010 ; Vol. 22, No. 2. pp. 207-231.
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