KAM Hamiltonians are not Quantum Ergodic
Analysis of PDEs
2023-04-26 v2
Abstract
We show that under generic conditions, the quantisation of a -parameter family of KAM perturbations of a completely integrable and Kolmogorov non-degenerate Gevrey smooth Hamiltonian is not quantum ergodic, at least for a full measure subset of the parameter .
Cite
@article{arxiv.1811.07718,
title = {KAM Hamiltonians are not Quantum Ergodic},
author = {Sean Gomes},
journal= {arXiv preprint arXiv:1811.07718},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1709.09919