On quantum averaging, quantum KAM and quantum diffusion
Dynamical Systems
2015-06-11 v2 Analysis of PDEs
Chaotic Dynamics
Abstract
For nonautonomous Hamiltonian systems and their quantisations we discuss properties of the quantised systems, related to those of the corresponding classical systems, described by the KAM-related theories: the proper KAM, the averaging theory, the Nekhoroshev stability and the diffusion.
Keywords
Cite
@article{arxiv.1208.4819,
title = {On quantum averaging, quantum KAM and quantum diffusion},
author = {S. B. Kuksin and A. I. Neishtadt},
journal= {arXiv preprint arXiv:1208.4819},
year = {2015}
}
Comments
15 pages