title: Semiclassical quantization of separatrix maps.
abstract: Quantization of energy balance equations, which describe a separatrixlike motion is presented. The method is based on an exact canonical transformation of the energy-time pair to the action-angle canonical pair, (E,t)-->(I,theta). 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.
authors.affiliation: Department of Physics, Technion, Haifa 32000, Israel.
authors.forename: A
authors.initials: A
authors.lastname: Iomin
authors.forename: S
authors.initials: S
authors.lastname: Fishman
authors.forename: G M
authors.initials: GM
authors.lastname: Zaslavsky