Semiclassical quantization of maps with a variable time scale

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dc.creatorIomin, A.
dc.creatorFishman, S.
dc.creatorZaslavsky, G. M.
dc.date2002-12-02
dc.date.accessioned2026-07-07T05:34:27Z
dc.date.available2026-07-07T05:34:27Z
dc.descriptionQuantization 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, $ (E,t)\to (I,θ) $. 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.
dc.identifierhttps://arxiv.org/abs/nlin/0212005
dc.identifierhttp://arxiv.org/abs/nlin/0212005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80372
dc.subjectChaotic Dynamics
dc.titleSemiclassical quantization of maps with a variable time scale
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