Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances
arXiv:nlin/0301041 · doi:10.1103/PhysRevE.68.056201
Abstract
We investigate the correspondence between the decay of correlation in classical system, governed by Ruelle--Pollicott resonances, and the properties of the corresponding quantum system. For this purpose we construct classical systems with controllable resonances together with their quantum counterpart. As an application of such tailormade resonances we reveal the role of Ruelle--Pollicott resonances for the localization properties of quantum energy eigenstates.
REVTeX4 (using graphics and pstricks packages), 18 pages, 16 figures