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hal-00421834, version 1

On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

Bruno Nachtergaele, Benjamin Schlein, Robert Sims, Shannon Starr, Valentin Zagrebnov 1

(2009-09-11)

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.

  • 1:  Centre de Physique Théorique (CPT)
  • CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var
  • Domain : Mathematics/Mathematical Physics
    Physics/Mathematical Physics
    Physics/Quantum Physics
 
  • hal-00421834, version 1
  • http://hal.archives-ouvertes.fr/hal-00421834
  • oai:hal.archives-ouvertes.fr:hal-00421834
  • From: Elizabeth Bernardo <>
  • Submitted on: Sunday, 4 October 2009 12:08:41
  • Updated on: Sunday, 4 October 2009 12:08:41