A+ CATEGORY SCIENTIFIC UNIT

Dynamics and Lieb–Robinson estimates for lattices of interacting anharmonic oscillators

Volume 118 / 2010

L. Amour, P. Lévy-Bruhl, J. Nourrigat Colloquium Mathematicum 118 (2010), 609-648 MSC: 82B20, 82C20. DOI: 10.4064/cm118-2-17

Abstract

For a class of infinite lattices of interacting anharmonic oscillators, we study the existence of the dynamics, together with Lieb–Robinson bounds, in a suitable algebra of observables.

Authors

  • L. AmourDépartement de Mathématiques
    Unité CNRS FRE 3111
    Université de Reims
    BP 1039
    51687 Reims Cedex 2, France
    e-mail
  • P. Lévy-BruhlDépartement de Mathématiques
    Unité CNRS FRE 3111
    Université de Reims
    BP 1039
    51687 Reims Cedex 2, France
    e-mail
  • J. NourrigatDépartement de Mathématiques
    Unité CNRS FRE 3111
    Université de Reims
    BP 1039
    51687 Reims Cedex 2, France
    e-mail

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