On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems
Mathematical Physics
2014-11-20 v1 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.0909.2249,
title = {On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems},
author = {Bruno Nachtergaele and Benjamin Schlein and Robert Sims and Shannon Starr and Valentin Zagrebnov},
journal= {arXiv preprint arXiv:0909.2249},
year = {2014}
}