On quantum averaging, quantum KAM and quantum diffusion
  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. 
S. B. Kuksin and A. I. Neishtadt
math.DS math.AP nlin.CD