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

L. Amour; P. Lévy-Bruhl; J. Nourrigat

Colloquium Mathematicae (2010)

  • Volume: 118, Issue: 2, page 609-648
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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L. Amour, P. Lévy-Bruhl, and J. Nourrigat. "Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators." Colloquium Mathematicae 118.2 (2010): 609-648. <http://eudml.org/doc/284194>.

@article{L2010,
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.},
author = {L. Amour, P. Lévy-Bruhl, J. Nourrigat},
journal = {Colloquium Mathematicae},
keywords = {lattices; group velocity; Fock spaces; Lieb-Robinson bounds; thermodynamic limits; Schrödinger operators; correlations},
language = {eng},
number = {2},
pages = {609-648},
title = {Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators},
url = {http://eudml.org/doc/284194},
volume = {118},
year = {2010},
}

TY - JOUR
AU - L. Amour
AU - P. Lévy-Bruhl
AU - J. Nourrigat
TI - Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 2
SP - 609
EP - 648
AB - 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.
LA - eng
KW - lattices; group velocity; Fock spaces; Lieb-Robinson bounds; thermodynamic limits; Schrödinger operators; correlations
UR - http://eudml.org/doc/284194
ER -

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