Quantum revivals in two degrees of freedom integrable systems : the torus case
Spectral Theory
2010-09-03 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
The paper deals with the semi-classical behaviour of quantum dynamics for a semi-classical completely integrable system with two degrees of freedom near Liouville regular torus. The phenomomenon of wave packet revivals is demonstrated in this article. The framework of this paper is semi-classical analysis (limit :). For the proofs we use standard tools of real analysis, Fourier analysis and basic analytic number theory.
Keywords
Cite
@article{arxiv.1009.0163,
title = {Quantum revivals in two degrees of freedom integrable systems : the torus case},
author = {Olivier Lablée},
journal= {arXiv preprint arXiv:1009.0163},
year = {2010}
}