On the existence of the dynamics for anharmonic quantum oscillator systems

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

Research output: Contribution to journalArticle

15 Scopus citations

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 1 2010

Keywords

  • Anharmonic lattice
  • Infinite-system dynamics
  • Thermodynamic limit

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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