On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems
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On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

  • Author(s): Nachtergaele, Bruno
  • Schlein, Benjamin
  • Sims, Robert
  • Starr, Shannon
  • Zagrebnov, Valentin
  • et al.

Published Web Location

https://arxiv.org/pdf/0909.2249.pdf
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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.

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