Semiclassical quantization of maps with a variable time scale
Chaotic Dynamics
2007-05-23 v1
Abstract
Quantization of energy balance equations, which describe a separatrix -- like motion is presented. The method is based on an exact canonical transformation of the energy--time pair to the action-angle canonical pair, . Quantum mechanical dynamics can be studied in the framework of the new Hamiltonian. This transformation also establishes a relation between a wide class of the energy balance equations and dynamical localization of classical diffusion by quantum interference, that was studied in the field of quantum chaos. An exact solution for a simple system is presented as well.
Cite
@article{arxiv.nlin/0212005,
title = {Semiclassical quantization of maps with a variable time scale},
author = {A. Iomin and S. Fishman and G. M. Zaslavsky},
journal= {arXiv preprint arXiv:nlin/0212005},
year = {2007}
}