Spectral stability and semiclassical measures for renormalized KAM systems
Mathematical Physics
2020-09-30 v5 Analysis of PDEs
Dynamical Systems
math.MP
Abstract
An exact semiclassical version of the classical KAM theorem about small perturbations of vector fields on the torus is given. Moreover, a renormalization theorem based on counterterms for some semiclassical systems that are close to being completely integrable is obtained. We apply these results to characterize the sets of semiclassical measures and quantum limits for sequences of -eigenfunctions of these systems.
Cite
@article{arxiv.1811.12300,
title = {Spectral stability and semiclassical measures for renormalized KAM systems},
author = {Victor Arnaiz},
journal= {arXiv preprint arXiv:1811.12300},
year = {2020}
}
Comments
26 pages