Wave packet dynamics in energy space, random matrix theory, and the quantum-classical correspondence

Citation
D. Cohen et al., Wave packet dynamics in energy space, random matrix theory, and the quantum-classical correspondence, PHYS REV L, 84(10), 2000, pp. 2052-2055
Citations number
10
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
84
Issue
10
Year of publication
2000
Pages
2052 - 2055
Database
ISI
SICI code
0031-9007(20000306)84:10<2052:WPDIES>2.0.ZU;2-3
Abstract
We apply random-matrix-theory (RMT) to the analysis of evolution of wave pa ckets in energy space. We study the crossover from ballistic behavior to sa turation, the possibility of having an intermediate diffusive behavior, and the feasibility of strong localization effect. Both theoretical considerat ions and numerical results are presented. Using quantal-classical correspon dence considerations we question the validity of the emerging dynamical pic ture. In particular, we claim that the appearance of the intermediate diffu sive behavior is possibly an artifact of the RMT strategy.